10628688 has 60 divisors (see below), whose sum is σ = 31947360. Its totient is φ = 3036096.

The previous prime is 10628663. The next prime is 10628711. The reversal of 10628688 is 88682601.

It is a super-2 number, since 2×10628688² = 225938017202688, which contains 22 as substring.

It is a congruent number.

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, 93 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (532456).

Almost surely, 2^10628688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973680).

10628688 is an abundant number, since it is smaller than the sum of its proper divisors (21318672).

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

10628688 is a wasteful number, since it uses less digits than its factorization.

10628688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 10628688 is about 3260.1668668950. The cubic root of 10628688 is about 219.8669167562.

The spelling of 10628688 in words is "ten million, six hundred twenty-eight thousand, six hundred eighty-eight".