12928392 has 96 divisors (see below), whose sum is σ = 37702080. Its totient is φ = 3991680.

The previous prime is 12928327. The next prime is 12928393. The reversal of 12928392 is 29382921.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (12928393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61167 + ... + 61377.

It is an arithmetic number, because the mean of its divisors is an integer number (392730).

Almost surely, 2^12928392 is an apocalyptic number.

12928392 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 12928392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851040).

12928392 is an abundant number, since it is smaller than the sum of its proper divisors (24773688).

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

12928392 is a wasteful number, since it uses less digits than its factorization.

12928392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12928392 is about 3595.6073200504. The cubic root of 12928392 is about 234.7009444734.

The spelling of 12928392 in words is "twelve million, nine hundred twenty-eight thousand, three hundred ninety-two".