28865008800 has 144 divisors (see below), whose sum is σ = 104395193280. Its totient is φ = 7697329920.

The previous prime is 28865008793. The next prime is 28865008811. The reversal of 28865008800 is 880056882.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 646572 + ... + 689771.

It is an arithmetic number, because the mean of its divisors is an integer number (724966620).

Almost surely, 2^28865008800 is an apocalyptic number.

28865008800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28865008800 is an abundant number, since it is smaller than the sum of its proper divisors (75530184480).

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

28865008800 is a wasteful number, since it uses less digits than its factorization.

28865008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336372 (or 1336353 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 28865008800 in words is "twenty-eight billion, eight hundred sixty-five million, eight thousand, eight hundred".