12928960 has 56 divisors (see below), whose sum is σ = 33595056. Its totient is φ = 4700160.

The previous prime is 12928933. The next prime is 12928969. The reversal of 12928960 is 6982921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928969) 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, 1684 + ... + 5356.

Almost surely, 2^12928960 is an apocalyptic number.

12928960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797528).

12928960 is an abundant number, since it is smaller than the sum of its proper divisors (20666096).

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

12928960 is a wasteful number, since it uses less digits than its factorization.

12928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 12928960 is about 3595.6863044487. The cubic root of 12928960 is about 234.7043815645.

The spelling of 12928960 in words is "twelve million, nine hundred twenty-eight thousand, nine hundred sixty".