12928096 has 48 divisors (see below), whose sum is σ = 26717040. Its totient is φ = 6151680.

The previous prime is 12928087. The next prime is 12928103. The reversal of 12928096 is 69082921.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 72135 + ... + 72313.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^12928096 is an apocalyptic number.

12928096 is a gapful number since it is divisible by the number (16) 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 12928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358520).

12928096 is an abundant number, since it is smaller than the sum of its proper divisors (13788944).

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

12928096 is a wasteful number, since it uses less digits than its factorization.

12928096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

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

The square root of 12928096 is about 3595.5661584791. The cubic root of 12928096 is about 234.6991532733.

The spelling of 12928096 in words is "twelve million, nine hundred twenty-eight thousand, ninety-six".