10557728 has 36 divisors (see below), whose sum is σ = 21451122. Its totient is φ = 5114880.

The previous prime is 10557727. The next prime is 10557737. The reversal of 10557728 is 82775501.

It can be written as a sum of positive squares in 3 ways, for example, as 10163344 + 394384 = 3188^2 + 628^2 .

It is a super-2 number, since 2×10557728² = 222931241043968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10557721) 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 5 ways as a sum of consecutive naturals, for example, 43688 + ... + 43928.

Almost surely, 2^10557728 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 10557728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725561).

10557728 is an abundant number, since it is smaller than the sum of its proper divisors (10893394).

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

10557728 is an equidigital number, since it uses as much as digits as its factorization.

10557728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 10557728 is about 3249.2657632148. The cubic root of 10557728 is about 219.3765267762.

The spelling of 10557728 in words is "ten million, five hundred fifty-seven thousand, seven hundred twenty-eight".