28557547200 has 2016 divisors, whose sum is σ = 139408855040. Its totient is φ = 5374771200.

The previous prime is 28557547153. The next prime is 28557547217. The reversal of 28557547200 is 274575582.

28557547200 is a `hidden beast` number, since 2 + 8 + 5 + 575 + 4 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 771825582 + ... + 771825618.

Almost surely, 2^28557547200 is an apocalyptic number.

28557547200 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 28557547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69704427520).

28557547200 is an abundant number, since it is smaller than the sum of its proper divisors (110851307840).

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

28557547200 is a wasteful number, since it uses less digits than its factorization.

28557547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 28557547200 in words is "twenty-eight billion, five hundred fifty-seven million, five hundred forty-seven thousand, two hundred".