28731715200 has 384 divisors, whose sum is σ = 108785448000. Its totient is φ = 7396945920.

The previous prime is 28731715141. The next prime is 28731715219. The reversal of 28731715200 is 251713782.

28731715200 is a `hidden beast` number, since 287 + 3 + 171 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28731715200² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499867 + ... + 2511333.

Almost surely, 2^28731715200 is an apocalyptic number.

28731715200 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 28731715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54392724000).

28731715200 is an abundant number, since it is smaller than the sum of its proper divisors (80053732800).

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

28731715200 is a wasteful number, since it uses less digits than its factorization.

28731715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 28731715200 in words is "twenty-eight billion, seven hundred thirty-one million, seven hundred fifteen thousand, two hundred".