The number 28448
28448 is a composite number with 24 divisors. Its prime factorisation is × 7 × 127. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 127, 224, 254, 508, 889 … 28448.
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How to work it out
- 1
28448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28448 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 28448 itself that is 36064, so 28448 is abundant (36064 is more than 28448). Euler's totient φ(28448) = 12096 numbers up to 28448 share no factor with it.
- 4
The digits of 28448 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28448 = 2^{5} \times 7 \times 127 \]28448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 12096 |
| Square | 809288704 |
| Cube | 23022645051392 |
| Square root | 168.665349 (= 4√1778) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8448 × |
28448 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and forty-eight |
| Binary (base 2) | 110111100100000 |
| Octal (base 8) | 67440 |
| Hexadecimal (base 16) | 6F20 |
| Base 3 | 1110000122 |
| As time | 28448 seconds = 7 h 54 min 8 s |
Is 28448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28448 ÷ 2 = 14224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28448 ÷ 4 = 7112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28448 ÷ 7 = 4064) | 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 (28448 ÷ 8 = 3556) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28448 a prime number?
No. 28448 = × 7 × 127, so it is divisible by 2.
What are the factors of 28448?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 127, 224, 254, 508, 889, 1016, 1778, 2032, 3556, 4064, 7112, 14224, 28448.
What is 28448 in binary?
110111100100000 (hexadecimal 6F20, octal 67440).
What is the square root of 28448?
About 168.6653, exactly 4√1778.
Is 28448 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 28448?
It is a composite number with 24 divisors.