11131328 has 56 divisors (see below), whose sum is σ = 25219152. Its totient is φ = 4829184.

The previous prime is 11131327. The next prime is 11131349. The reversal of 11131328 is 82313111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13751 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (450342).

Almost surely, 2^11131328 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 11131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609576).

11131328 is an abundant number, since it is smaller than the sum of its proper divisors (14087824).

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

11131328 is a wasteful number, since it uses less digits than its factorization.

11131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 11131328 is about 3336.3644884814. The cubic root of 11131328 is about 223.2795732089.

Adding to 11131328 its reverse (82313111), we get a palindrome (93444439).

The spelling of 11131328 in words is "eleven million, one hundred thirty-one thousand, three hundred twenty-eight".