10638828 has 36 divisors (see below), whose sum is σ = 27763008. Its totient is φ = 3431520.

The previous prime is 10638781. The next prime is 10638833. The reversal of 10638828 is 82883601.

10638828 is a `hidden beast` number, since 10 + 638 + 8 + 2 + 8 = 666.

10638828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10638828² = 226369322427168, 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 = 10638792 and 10638801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3651 + ... + 5882.

Almost surely, 2^10638828 is an apocalyptic number.

10638828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10638828 is an abundant number, since it is smaller than the sum of its proper divisors (17124180).

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

10638828 is a wasteful number, since it uses less digits than its factorization.

10638828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10638828 is about 3261.7216312862. The cubic root of 10638828 is about 219.9368138100.

The spelling of 10638828 in words is "ten million, six hundred thirty-eight thousand, eight hundred twenty-eight".