10628928 has 56 divisors (see below), whose sum is σ = 31252160. Its totient is φ = 3542400.

The previous prime is 10628911. The next prime is 10628941. The reversal of 10628928 is 82982601.

10628928 is a `hidden beast` number, since 1 + 0 + 628 + 9 + 28 = 666.

It is a super-2 number, since 2×10628928² = 225948220858368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10628892 and 10628901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348 + ... + 4803.

Almost surely, 2^10628928 is an apocalyptic number.

10628928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10628928 is an abundant number, since it is smaller than the sum of its proper divisors (20623232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10628928 is an equidigital number, since it uses as much as digits as its factorization.

10628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10628928 is about 3260.2036746191. The cubic root of 10628928 is about 219.8685716379.

The spelling of 10628928 in words is "ten million, six hundred twenty-eight thousand, nine hundred twenty-eight".