12928200 has 96 divisors (see below), whose sum is σ = 41515200. Its totient is φ = 3324160.

The previous prime is 12928193. The next prime is 12928213. The reversal of 12928200 is 282921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17029 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (432450).

Almost surely, 2^12928200 is an apocalyptic number.

12928200 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 12928200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

12928200 is an abundant number, since it is smaller than the sum of its proper divisors (28587000).

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

12928200 is a wasteful number, since it uses less digits than its factorization.

12928200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12928200 is about 3595.5806207065. The cubic root of 12928200 is about 234.6997826170.

The spelling of 12928200 in words is "twelve million, nine hundred twenty-eight thousand, two hundred".