11165728 has 36 divisors (see below), whose sum is σ = 25575102. Its totient is φ = 4784640.

The previous prime is 11165723. The next prime is 11165729. The reversal of 11165728 is 82756111.

It can be written as a sum of positive squares in only one way, i.e., 11102224 + 63504 = 3332^2 + 252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11165728.

It is not an unprimeable number, because it can be changed into a prime (11165723) 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, 1993 + ... + 5128.

It is a vampire number, since it can be written as 1568 ⋅ 7121 (with its own digits).

Almost surely, 2^11165728 is an apocalyptic number.

It is an amenable number.

11165728 is an abundant number, since it is smaller than the sum of its proper divisors (14409374).

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

11165728 is an equidigital number, since it uses as much as digits as its factorization.

11165728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7130 counting only the distinct ones).

The product of its digits is 3360, while the sum is 31.

The square root of 11165728 is about 3341.5158236944. The cubic root of 11165728 is about 223.5093426988.

The spelling of 11165728 in words is "eleven million, one hundred sixty-five thousand, seven hundred twenty-eight".