10638628 has 48 divisors (see below), whose sum is σ = 25006464. Its totient is φ = 3824640.

The previous prime is 10638601. The next prime is 10638631. The reversal of 10638628 is 82683601.

It is a super-2 number, since 2×10638628² = 226360811444768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10638593 and 10638602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676 + ... + 5332.

It is an arithmetic number, because the mean of its divisors is an integer number (520968).

Almost surely, 2^10638628 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 10638628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503232).

10638628 is an abundant number, since it is smaller than the sum of its proper divisors (14367836).

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

10638628 is a wasteful number, since it uses less digits than its factorization.

10638628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 10638628 is about 3261.6909724865. The cubic root of 10638628 is about 219.9354355993.

The spelling of 10638628 in words is "ten million, six hundred thirty-eight thousand, six hundred twenty-eight".