10688328 has 64 divisors (see below), whose sum is σ = 33936000. Its totient is φ = 3053376.

The previous prime is 10688323. The next prime is 10688339. The reversal of 10688328 is 82388601.

It is a super-2 number, since 2×10688328² = 228480710871168, 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 = 10688292 and 10688301.

It is not an unprimeable number, because it can be changed into a prime (10688323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (530250).

Almost surely, 2^10688328 is an apocalyptic number.

10688328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10688328 is an abundant number, since it is smaller than the sum of its proper divisors (23247672).

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

10688328 is a wasteful number, since it uses less digits than its factorization.

10688328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091 (or 7081 counting only the distinct ones).

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

The square root of 10688328 is about 3269.3008426879. The cubic root of 10688328 is about 220.2773911460.

The spelling of 10688328 in words is "ten million, six hundred eighty-eight thousand, three hundred twenty-eight".