11132928 has 84 divisors (see below), whose sum is σ = 32372808. Its totient is φ = 3686400.

The previous prime is 11132923. The next prime is 11132941. The reversal of 11132928 is 82923111.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132923) 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, 73653 + ... + 73803.

Almost surely, 2^11132928 is an apocalyptic number.

11132928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186404).

11132928 is an abundant number, since it is smaller than the sum of its proper divisors (21239880).

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

11132928 is an equidigital number, since it uses as much as digits as its factorization.

11132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11132928 is about 3336.6042618207. The cubic root of 11132928 is about 223.2902706508.

The spelling of 11132928 in words is "eleven million, one hundred thirty-two thousand, nine hundred twenty-eight".