12928896 has 160 divisors (see below), whose sum is σ = 40728600. Its totient is φ = 4064256.

The previous prime is 12928849. The next prime is 12928897. The reversal of 12928896 is 69882921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300651 + ... + 300693.

Almost surely, 2^12928896 is an apocalyptic number.

12928896 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 12928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20364300).

12928896 is an abundant number, since it is smaller than the sum of its proper divisors (27799704).

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

12928896 is an equidigital number, since it uses as much as digits as its factorization.

12928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

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

The square root of 12928896 is about 3595.6774048849. The cubic root of 12928896 is about 234.7039942917.

It can be divided in two parts, 12928 and 896, that added together give a cube (13824 = 24³).

The spelling of 12928896 in words is "twelve million, nine hundred twenty-eight thousand, eight hundred ninety-six".