11264928 has 48 divisors (see below), whose sum is σ = 29748096. Its totient is φ = 3732480.

The previous prime is 11264927. The next prime is 11264933. The reversal of 11264928 is 82946211.

11264928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11264921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25800 + ... + 26232.

It is an arithmetic number, because the mean of its divisors is an integer number (619752).

Almost surely, 2^11264928 is an apocalyptic number.

It is an amenable number.

11264928 is an abundant number, since it is smaller than the sum of its proper divisors (18483168).

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

11264928 is a wasteful number, since it uses less digits than its factorization.

11264928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 11264928 is about 3356.3265633725. The cubic root of 11264928 is about 224.1693022789.

The spelling of 11264928 in words is "eleven million, two hundred sixty-four thousand, nine hundred twenty-eight".