The number 28200
28200 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 47. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47 … 28200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28200: a Harshad number: divisible by its digit sum 12.
- 2
28200 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 28200 itself that is 61080, so 28200 is abundant (61080 is more than 28200). Euler's totient φ(28200) = 7360 numbers up to 28200 share no factor with it.
- 4
The digits of 28200 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28200 = 2^{3} \times 3 \times 5^{2} \times 47 \]28200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 7360 |
| Square | 795240000 |
| Cube | 22425768000000 |
| Square root | 167.928556 (= 10√282) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.82 × |
28200 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand two hundred |
| Binary (base 2) | 110111000101000 |
| Octal (base 8) | 67050 |
| Hexadecimal (base 16) | 6E28 |
| Base 3 | 1102200110 |
| As time | 28200 seconds = 7 h 50 min 0 s |
Is 28200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28200 ÷ 2 = 14100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28200 ÷ 3 = 9400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28200 ÷ 4 = 7050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (28200 ÷ 5 = 5640) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (28200 ÷ 6 = 4700) | 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 (28200 ÷ 8 = 3525) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (28200 ÷ 10 = 2820) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (28200 ÷ 12 = 2350) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28200 a prime number?
No. 28200 = × 3 × × 47, so it is divisible by 2.
What are the factors of 28200?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47, 50, 60, 75, 94, 100, 120, 141, 150, 188, 200, 235, 282, 300, 376, 470, 564, 600, 705, 940, 1128, 1175, 1410, 1880, 2350, 2820, 3525, 4700, 5640, 7050, 9400, 14100, 28200.
What is 28200 in binary?
110111000101000 (hexadecimal 6E28, octal 67050).
What is the square root of 28200?
About 167.9286, exactly 10√282.
Is 28200 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 28200?
28200 is a Harshad number: divisible by its digit sum 12.