| Base | Representation |
|---|---|
| bin | 110110011001… |
| … | …0111011000000 |
| 3 | 1222122222021001 |
| 4 | 1230302323000 |
| 5 | 24300121003 |
| 6 | 2455141344 |
| 7 | 464263030 |
| oct | 154627300 |
| 9 | 58588231 |
| 10 | 28520128 |
| 11 | 1510a65a |
| 12 | 9674854 |
| 13 | 5ba7520 |
| 14 | 3b058c0 |
| 15 | 278561d |
| hex | 1b32ec0 |
28520128 has 112 divisors (see below), whose sum is σ = 71688960. Its totient is φ = 10957824.
The previous prime is 28520119. The next prime is 28520131. The reversal of 28520128 is 82102582.
28520128 is a nontrivial binomial coefficient, being equal to C(7553, 2).
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×285201282 = 1626795402272768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a junction number, because it is equal to n+sod(n) for n = 28520096 and 28520105.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343575 + ... + 343657.
It is an arithmetic number, because the mean of its divisors is an integer number (640080).
Almost surely, 228520128 is an apocalyptic number.
28520128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
28520128 is the 7552-nd triangular number.
28520128 is the 2518-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 28520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35844480).
28520128 is an abundant number, since it is smaller than the sum of its proper divisors (43168832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28520128 is a wasteful number, since it uses less digits than its factorization.
28520128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 174 (or 164 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 28.
The square root of 28520128 is about 5340.4239532082. The cubic root of 28520128 is about 305.5276292176.
The spelling of 28520128 in words is "twenty-eight million, five hundred twenty thousand, one hundred twenty-eight".
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