The number 28824
28824 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1201. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1201, 2402, 3603, 4804, 7206, 9608, 14412, 28824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28824: a Harshad number: divisible by its digit sum 24.
- 2
28824 is composite. Its prime factorisation is
- 3
The divisors add up to 72120; without 28824 itself that is 43296, so 28824 is abundant (43296 is more than 28824). Euler's totient φ(28824) = 9600 numbers up to 28824 share no factor with it.
- 4
The digits of 28824 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 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28824 = 2^{3} \times 3 \times 1201 \]28824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72120 |
| Euler totient φ(n) | 9600 |
| Square | 830822976 |
| Cube | 23947641460224 |
| Square root | 169.776323 (= 2√7206) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.8824 × |
28824 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand eight hundred and twenty-four |
| Binary (base 2) | 111000010011000 |
| Octal (base 8) | 70230 |
| Hexadecimal (base 16) | 7098 |
| Base 3 | 1110112120 |
| As time | 28824 seconds = 8 h 0 min 24 s |
Is 28824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28824 ÷ 2 = 14412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28824 ÷ 3 = 9608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28824 ÷ 4 = 7206) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (28824 ÷ 6 = 4804) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (28824 ÷ 8 = 3603) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (28824 ÷ 12 = 2402) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28824 a prime number?
No. 28824 = × 3 × 1201, so it is divisible by 2.
What are the factors of 28824?
1, 2, 3, 4, 6, 8, 12, 24, 1201, 2402, 3603, 4804, 7206, 9608, 14412, 28824.
What is 28824 in binary?
111000010011000 (hexadecimal 7098, octal 70230).
What is the square root of 28824?
About 169.7763, exactly 2√7206.
Is 28824 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 28824?
28824 is a Harshad number: divisible by its digit sum 24.