10628952 has 32 divisors (see below), whose sum is σ = 26827200. Its totient is φ = 3509024.

The previous prime is 10628951. The next prime is 10628971. The reversal of 10628952 is 25982601.

It is a super-2 number, since 2×10628952² = 225949241236608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 499 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (838350).

Almost surely, 2^10628952 is an apocalyptic number.

10628952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10628952 is an abundant number, since it is smaller than the sum of its proper divisors (16198248).

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

10628952 is a wasteful number, since it uses less digits than its factorization.

10628952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10628952 is about 3260.2073553687. The cubic root of 10628952 is about 219.8687371247.

The spelling of 10628952 in words is "ten million, six hundred twenty-eight thousand, nine hundred fifty-two".