28364864000 has 320 divisors, whose sum is σ = 79038191232. Its totient is φ = 10063872000.

The previous prime is 28364863981. The next prime is 28364864029. The reversal of 28364864000 is 46846382.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30271532 + ... + 30272468.

Almost surely, 2^28364864000 is an apocalyptic number.

28364864000 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 28364864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39519095616).

28364864000 is an abundant number, since it is smaller than the sum of its proper divisors (50673327232).

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

28364864000 is an equidigital number, since it uses as much as digits as its factorization.

28364864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 28364864000 in words is "twenty-eight billion, three hundred sixty-four million, eight hundred sixty-four thousand".