28964044800 has 630 divisors, whose sum is σ = 108803937578. Its totient is φ = 7644119040.

The previous prime is 28964044793. The next prime is 28964044817. The reversal of 28964044800 is 844046982.

It can be written as a sum of positive squares in 3 ways, for example, as 1445216256 + 27518828544 = 38016^2 + 165888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298598352 + ... + 298598448.

Almost surely, 2^28964044800 is an apocalyptic number.

28964044800 is a gapful number since it is divisible by the number (20) 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 28964044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54401968789).

28964044800 is an abundant number, since it is smaller than the sum of its proper divisors (79839892778).

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

28964044800 is an frugal number, since it uses more digits than its factorization.

28964044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28964044800 in words is "twenty-eight billion, nine hundred sixty-four million, forty-four thousand, eight hundred".