The number 28480
28480 is a composite number with 28 divisors. Its prime factorisation is × 5 × 89. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 89, 160, 178, 320 … 28480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28480 is composite. Its prime factorisation is
- 3
The divisors add up to 68580; without 28480 itself that is 40100, so 28480 is abundant (40100 is more than 28480). Euler's totient φ(28480) = 11264 numbers up to 28480 share no factor with it.
- 4
The digits of 28480 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28480 = 2^{6} \times 5 \times 89 \]28480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 68580 |
| Euler totient φ(n) | 11264 |
| Square | 811110400 |
| Cube | 23100424192000 |
| Square root | 168.760185 (= 8√445) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.848 × |
28480 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and eighty |
| Binary (base 2) | 110111101000000 |
| Octal (base 8) | 67500 |
| Hexadecimal (base 16) | 6F40 |
| Base 3 | 1110001211 |
| As time | 28480 seconds = 7 h 54 min 40 s |
Is 28480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28480 ÷ 2 = 14240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28480 ÷ 4 = 7120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (28480 ÷ 5 = 5696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (28480 ÷ 8 = 3560) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (28480 ÷ 10 = 2848) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28480 a prime number?
No. 28480 = × 5 × 89, so it is divisible by 2.
What are the factors of 28480?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 89, 160, 178, 320, 356, 445, 712, 890, 1424, 1780, 2848, 3560, 5696, 7120, 14240, 28480.
What is 28480 in binary?
110111101000000 (hexadecimal 6F40, octal 67500).
What is the square root of 28480?
About 168.7602, exactly 8√445.
Is 28480 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 28480?
It is a composite number with 28 divisors.