28887645600 has 1152 divisors, whose sum is σ = 122992128000. Its totient is φ = 6550502400.

The previous prime is 28887645559. The next prime is 28887645617. The reversal of 28887645600 is 654678882.

28887645600 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 76 + 4 + 560 + 0 = 666.

It is a super-2 number, since 2×28887645600² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 365666361 + ... + 365666439.

It is an arithmetic number, because the mean of its divisors is an integer number (106764000).

Almost surely, 2^28887645600 is an apocalyptic number.

28887645600 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 28887645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61496064000).

28887645600 is an abundant number, since it is smaller than the sum of its proper divisors (94104482400).

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

28887645600 is a wasteful number, since it uses less digits than its factorization.

28887645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28887645600 in words is "twenty-eight billion, eight hundred eighty-seven million, six hundred forty-five thousand, six hundred".