11811328 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 5226496.

The previous prime is 11811301. The next prime is 11811343. The reversal of 11811328 is 82311811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200163 + ... + 200221.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^11811328 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 11811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

11811328 is an abundant number, since it is smaller than the sum of its proper divisors (14704832).

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

11811328 is an equidigital number, since it uses as much as digits as its factorization.

11811328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its digits is 384, while the sum is 25.

The square root of 11811328 is about 3436.7612660760. The cubic root of 11811328 is about 227.7366406156.

The spelling of 11811328 in words is "eleven million, eight hundred eleven thousand, three hundred twenty-eight".