10635728 has 40 divisors (see below), whose sum is σ = 21831936. Its totient is φ = 5011200.

The previous prime is 10635719. The next prime is 10635733. The reversal of 10635728 is 82753601.

It is a happy number.

It is a super-2 number, since 2×10635728² = 226237420179968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10635694 and 10635703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20075 + ... + 20597.

Almost surely, 2^10635728 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 10635728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915968).

10635728 is an abundant number, since it is smaller than the sum of its proper divisors (11196208).

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

10635728 is a wasteful number, since it uses less digits than its factorization.

10635728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10635728 is about 3261.2463875028. The cubic root of 10635728 is about 219.9154496034.

The spelling of 10635728 in words is "ten million, six hundred thirty-five thousand, seven hundred twenty-eight".