10513728 has 42 divisors (see below), whose sum is σ = 30137354. Its totient is φ = 3504384.

The previous prime is 10513721. The next prime is 10513739. The reversal of 10513728 is 82731501.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 4981824 = 2352^2 + 2232^2 .

It is a super-2 number, since 2×10513728² = 221076952915968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8551 + ... + 9702.

Almost surely, 2^10513728 is an apocalyptic number.

10513728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10513728 is an abundant number, since it is smaller than the sum of its proper divisors (19623626).

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

10513728 is a wasteful number, since it uses less digits than its factorization.

10513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18271 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10513728 is about 3242.4879336707. The cubic root of 10513728 is about 219.0713472420.

The spelling of 10513728 in words is "ten million, five hundred thirteen thousand, seven hundred twenty-eight".