12980928 has 112 divisors (see below), whose sum is σ = 37636704. Its totient is φ = 3932160.

The previous prime is 12980899. The next prime is 12980939. The reversal of 12980928 is 82908921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133776 + ... + 133872.

It is an arithmetic number, because the mean of its divisors is an integer number (336042).

Almost surely, 2^12980928 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 12980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18818352).

12980928 is an abundant number, since it is smaller than the sum of its proper divisors (24655776).

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

12980928 is a wasteful number, since it uses less digits than its factorization.

12980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 12980928 is about 3602.9054941811. The cubic root of 12980928 is about 235.0184261997.

The spelling of 12980928 in words is "twelve million, nine hundred eighty thousand, nine hundred twenty-eight".