28975957200 has 240 divisors, whose sum is σ = 104050007040. Its totient is φ = 7658219520.

The previous prime is 28975957193. The next prime is 28975957237. The reversal of 28975957200 is 275957982.

28975957200 is a `hidden beast` number, since 28 + 9 + 7 + 595 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 1208529 + ... + 1232271.

It is an arithmetic number, because the mean of its divisors is an integer number (433541696).

Almost surely, 2^28975957200 is an apocalyptic number.

28975957200 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 28975957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52025003520).

28975957200 is an abundant number, since it is smaller than the sum of its proper divisors (75074049840).

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

28975957200 is a wasteful number, since it uses less digits than its factorization.

28975957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23883 (or 23866 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 28975957200 in words is "twenty-eight billion, nine hundred seventy-five million, nine hundred fifty-seven thousand, two hundred".