12828864 has 56 divisors (see below), whose sum is σ = 34310320. Its totient is φ = 4230144.

The previous prime is 12828853. The next prime is 12828911. The reversal of 12828864 is 46882821.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20622 + ... + 21234.

Almost surely, 2^12828864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155160).

12828864 is an abundant number, since it is smaller than the sum of its proper divisors (21481456).

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

12828864 is a wasteful number, since it uses less digits than its factorization.

12828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12828864 is about 3581.7403590992. The cubic root of 12828864 is about 234.0971179894.

The spelling of 12828864 in words is "twelve million, eight hundred twenty-eight thousand, eight hundred sixty-four".