12896928 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 3674880.

The previous prime is 12896927. The next prime is 12896957. The reversal of 12896928 is 82969821.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12896921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218563 + ... + 218621.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^12896928 is an apocalyptic number.

12896928 is a gapful number since it is divisible by the number (18) 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 12896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12896928 is an abundant number, since it is smaller than the sum of its proper divisors (30648672).

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

12896928 is a wasteful number, since it uses less digits than its factorization.

12896928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 12896928 is about 3591.2293159864. The cubic root of 12896928 is about 234.5103915332.

It can be divided in two parts, 12896 and 928, that added together give a cube (13824 = 24³).

The spelling of 12896928 in words is "twelve million, eight hundred ninety-six thousand, nine hundred twenty-eight".