11613728 has 48 divisors (see below), whose sum is σ = 26389440. Its totient is φ = 4928256.

The previous prime is 11613691. The next prime is 11613733. The reversal of 11613728 is 82731611.

It is a self number, because there is not a number n which added to its sum of digits gives 11613728.

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, 30950 + ... + 31322.

It is an arithmetic number, because the mean of its divisors is an integer number (549780).

Almost surely, 2^11613728 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 11613728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194720).

11613728 is an abundant number, since it is smaller than the sum of its proper divisors (14775712).

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

11613728 is a wasteful number, since it uses less digits than its factorization.

11613728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 11613728 is about 3407.8920170686. The cubic root of 11613728 is about 226.4595031452.

The spelling of 11613728 in words is "eleven million, six hundred thirteen thousand, seven hundred twenty-eight".