11792928 has 144 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 3193344.

The previous prime is 11792897. The next prime is 11792933. The reversal of 11792928 is 82929711.

Its product of digits (18144) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 108138 + ... + 108246.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 2^11792928 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 11792928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

11792928 is an abundant number, since it is smaller than the sum of its proper divisors (26128032).

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

11792928 is a wasteful number, since it uses less digits than its factorization.

11792928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11792928 is about 3434.0832837891. The cubic root of 11792928 is about 227.6183210944.

It can be divided in two parts, 11792 and 928, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 11792928 in words is "eleven million, seven hundred ninety-two thousand, nine hundred twenty-eight".