12928512 has 80 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 4073472.

The previous prime is 12928511. The next prime is 12928537. The reversal of 12928512 is 21582921.

It is a self number, because there is not a number n which added to its sum of digits gives 12928512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28963 + ... + 29405.

It is an arithmetic number, because the mean of its divisors is an integer number (454212).

Almost surely, 2^12928512 is an apocalyptic number.

12928512 is a gapful number since it is divisible by the number (12) 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 12928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

12928512 is an abundant number, since it is smaller than the sum of its proper divisors (23408448).

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

12928512 is an equidigital number, since it uses as much as digits as its factorization.

12928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12928512 is about 3595.6240070397. The cubic root of 12928512 is about 234.7016706278.

The spelling of 12928512 in words is "twelve million, nine hundred twenty-eight thousand, five hundred twelve".