12828962304 has 160 divisors (see below), whose sum is σ = 38084244000. Its totient is φ = 4263985152.

The previous prime is 12828962303. The next prime is 12828962339. The reversal of 12828962304 is 40326982821.

12828962304 is a `hidden beast` number, since 1 + 2 + 8 + 289 + 62 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12828962304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828962303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5652882 + ... + 5655150.

It is an arithmetic number, because the mean of its divisors is an integer number (238026525).

Almost surely, 2^12828962304 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 12828962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042122000).

12828962304 is an abundant number, since it is smaller than the sum of its proper divisors (25255281696).

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

12828962304 is an equidigital number, since it uses as much as digits as its factorization.

12828962304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12828962304 in words is "twelve billion, eight hundred twenty-eight million, nine hundred sixty-two thousand, three hundred four".