10537728 has 36 divisors (see below), whose sum is σ = 28047768. Its totient is φ = 3512320.

The previous prime is 10537721. The next prime is 10537753. The reversal of 10537728 is 82773501.

It is a super-2 number, since 2×10537728² = 222087422803968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10537721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6093 + ... + 7628.

Almost surely, 2^10537728 is an apocalyptic number.

It is an amenable number.

10537728 is an abundant number, since it is smaller than the sum of its proper divisors (17510040).

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

10537728 is an equidigital number, since it uses as much as digits as its factorization.

10537728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13740 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 10537728 is about 3246.1866859440. The cubic root of 10537728 is about 219.2379141266.

The spelling of 10537728 in words is "ten million, five hundred thirty-seven thousand, seven hundred twenty-eight".