12828800 has 96 divisors (see below), whose sum is σ = 33517200. Its totient is φ = 4838400.

The previous prime is 12828799. The next prime is 12828811. The reversal of 12828800 is 882821.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 60695 + ... + 60905.

Almost surely, 2^12828800 is an apocalyptic number.

12828800 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 12828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758600).

12828800 is an abundant number, since it is smaller than the sum of its proper divisors (20688400).

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

12828800 is a wasteful number, since it uses less digits than its factorization.

12828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 12828800 is about 3581.7314248838. The cubic root of 12828800 is about 234.0967287048.

It can be divided in two parts, 128 and 28800, that multiplied together give a square (3686400 = 1920²).

The spelling of 12828800 in words is "twelve million, eight hundred twenty-eight thousand, eight hundred".