The number 28392

Q: Is 28392 a prime number?

No. 28392 = 2^3 × 3 × 7 × 13^2, so it is divisible by 2.

28392 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × $13^{2}$ . Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42 … 28392.

Number

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28392 = 2^{3} \times 3 \times 7 \times 13^{2}

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How to work it out

1
What is special about 28392: a Harshad number: divisible by its digit sum 24.
2
28392 is composite. Its prime factorisation is
$28392 = 2^{3} \times 3 \times 7 \times 13^{2}$
3
The divisors add up to 87840; without 28392 itself that is 59448, so 28392 is abundant (59448 is more than 28392). Euler's totient φ(28392) = 7488 numbers up to 28392 share no factor with it.
4
The digits of 28392 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page

\[ 28392 = 2^{3} \times 3 \times 7 \times 13^{2} \]

28392 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	87840
Euler totient φ(n)	7488
Square	806105664
Cube	22886952012288
Square root	168.499258 (= 26√42)
Digit sum / digital root	24 / 6
Collatz steps to 1	59
Scientific notation	2.8392 × $10^{4}$

28392 in other forms

Form	Value
In words	twenty-eight thousand three hundred and ninety-two
Binary (base 2)	110111011101000
Octal (base 8)	67350
Hexadecimal (base 16)	6EE8
Base 3	1102221120
As time	28392 seconds = 7 h 53 min 12 s

Is 28392 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (28392 ÷ 2 = 14196)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (28392 ÷ 3 = 9464)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (28392 ÷ 4 = 7098)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (28392 ÷ 6 = 4732)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (28392 ÷ 7 = 4056)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (28392 ÷ 8 = 3549)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (28392 ÷ 12 = 2366)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28392 a prime number?

No. 28392 = $2^{3}$ × 3 × 7 × $13^{2}$ , so it is divisible by 2.

What are the factors of 28392?

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 169, 182, 273, 312, 338, 364, 507, 546, 676, 728, 1014, 1092, 1183, 1352, 2028, 2184, 2366, 3549, 4056, 4732, 7098, 9464, 14196, 28392.

What is 28392 in binary?

110111011101000 (hexadecimal 6EE8, octal 67350).

What is the square root of 28392?

About 168.4993, exactly 26√42.

Is 28392 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 28392?

28392 is a Harshad number: divisible by its digit sum 24.