28315584000 has 960 divisors, whose sum is σ = 115018263360. Its totient is φ = 6635520000.

The previous prime is 28315583977. The next prime is 28315584067. The reversal of 28315584000 is 48551382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×28315584000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 259775946 + ... + 259776054.

It is an arithmetic number, because the mean of its divisors is an integer number (119810691).

Almost surely, 2^28315584000 is an apocalyptic number.

28315584000 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 28315584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57509131680).

28315584000 is an abundant number, since it is smaller than the sum of its proper divisors (86702679360).

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

28315584000 is a wasteful number, since it uses less digits than its factorization.

28315584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 28315584000 in words is "twenty-eight billion, three hundred fifteen million, five hundred eighty-four thousand".