11512928 has 48 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 4876416.

The previous prime is 11512901. The next prime is 11512933. The reversal of 11512928 is 82921511.

11512928 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11512928² = 265095022266368, which contains 22 as substring.

11512928 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11512928.

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, 22823 + ... + 23321.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^11512928 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 11512928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

11512928 is an abundant number, since it is smaller than the sum of its proper divisors (14695072).

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

11512928 is a wasteful number, since it uses less digits than its factorization.

11512928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its digits is 1440, while the sum is 29.

The square root of 11512928 is about 3393.0705857674. The cubic root of 11512928 is about 225.8024221462.

The spelling of 11512928 in words is "eleven million, five hundred twelve thousand, nine hundred twenty-eight".