10629128 has 32 divisors (see below), whose sum is σ = 21159360. Its totient is φ = 4994880.

The previous prime is 10629121. The next prime is 10629149. The reversal of 10629128 is 82192601.

It is a super-2 number, since 2×10629128² = 225956724080768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10629128.

It is not an unprimeable number, because it can be changed into a prime (10629121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10751 + ... + 11697.

It is an arithmetic number, because the mean of its divisors is an integer number (661230).

Almost surely, 2^10629128 is an apocalyptic number.

It is an amenable number.

10629128 is a deficient number, since it is larger than the sum of its proper divisors (10530232).

10629128 is a wasteful number, since it uses less digits than its factorization.

10629128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10629128 is about 3260.2343474051. The cubic root of 10629128 is about 219.8699506869.

The spelling of 10629128 in words is "ten million, six hundred twenty-nine thousand, one hundred twenty-eight".