2828800904000 has 112 divisors (see below), whose sum is σ = 7176392744976. Its totient is φ = 1103922176000.

The previous prime is 2828800903991. The next prime is 2828800904053. The reversal of 2828800904000 is 4090088282.

It can be written as a sum of positive squares in 8 ways, for example, as 761025927424 + 2067774976576 = 872368^2 + 1437976^2 .

It is a super-2 number, since 2×2828800904000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3984197 + ... + 4640196.

It is an arithmetic number, because the mean of its divisors is an integer number (64074935223).

Almost surely, 2^{2828800904000} is an apocalyptic number.

2828800904000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828800904000 is an abundant number, since it is smaller than the sum of its proper divisors (4347591840976).

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

2828800904000 is an equidigital number, since it uses as much as digits as its factorization.

2828800904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624461 (or 8624441 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 2828800904000 in words is "two trillion, eight hundred twenty-eight billion, eight hundred million, nine hundred four thousand".