| Base | Representation |
|---|---|
| bin | 110101110011… |
| … | …0100001100000 |
| 3 | 1222002002000010 |
| 4 | 1223212201200 |
| 5 | 24210112300 |
| 6 | 2444324520 |
| 7 | 461520510 |
| oct | 153464140 |
| 9 | 58062003 |
| 10 | 28207200 |
| 11 | 14a1653a |
| 12 | 9543740 |
| 13 | 5ac7c68 |
| 14 | 3a63840 |
| 15 | 2722a50 |
| hex | 1ae6860 |
28207200 has 288 divisors, whose sum is σ = 110992896. Its totient is φ = 6082560.
The previous prime is 28207181. The next prime is 28207219. The reversal of 28207200 is 270282.
28207200 = T384 + T385 + ... + T608.
It is an interprime number because it is at equal distance from previous prime (28207181) and next prime (28207219).
It is a super-2 number, since 2×282072002 = 1591292263680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386364 + ... + 386436.
It is an arithmetic number, because the mean of its divisors is an integer number (385392).
Almost surely, 228207200 is an apocalyptic number.
28207200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 28207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496448).
28207200 is an abundant number, since it is smaller than the sum of its proper divisors (82785696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28207200 is a wasteful number, since it uses less digits than its factorization.
28207200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 448, while the sum is 21.
The square root of 28207200 is about 5311.0450948942. The cubic root of 28207200 is about 304.4060824300.
Adding to 28207200 its reverse (270282), we get a palindrome (28477482).
The spelling of 28207200 in words is "twenty-eight million, two hundred seven thousand, two hundred".
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