12928320 has 126 divisors (see below), whose sum is σ = 45141642. Its totient is φ = 3396096.

The previous prime is 12928301. The next prime is 12928327. The reversal of 12928320 is 2382921.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 2585664 = 3216^2 + 1608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 192927 + ... + 192993.

It is an arithmetic number, because the mean of its divisors is an integer number (358267).

Almost surely, 2^12928320 is an apocalyptic number.

12928320 is a gapful number since it is divisible by the number (10) 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 12928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570821).

12928320 is an abundant number, since it is smaller than the sum of its proper divisors (32213322).

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

12928320 is an equidigital number, since it uses as much as digits as its factorization.

12928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12928320 is about 3595.5973078197. The cubic root of 12928320 is about 234.7005087786.

The spelling of 12928320 in words is "twelve million, nine hundred twenty-eight thousand, three hundred twenty".