28436788800 has 672 divisors, whose sum is σ = 119251415040. Its totient is φ = 6457190400.

The previous prime is 28436788769. The next prime is 28436788819. The reversal of 28436788800 is 888763482.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81950227 + ... + 81950573.

Almost surely, 2^28436788800 is an apocalyptic number.

28436788800 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 28436788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59625707520).

28436788800 is an abundant number, since it is smaller than the sum of its proper divisors (90814626240).

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

28436788800 is a wasteful number, since it uses less digits than its factorization.

28436788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28436788800 in words is "twenty-eight billion, four hundred thirty-six million, seven hundred eighty-eight thousand, eight hundred".