28457956800 has 1680 divisors, whose sum is σ = 136586813440. Its totient is φ = 5643509760.

The previous prime is 28457956799. The next prime is 28457956823. The reversal of 28457956800 is 865975482.

28457956800 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 79 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 224078337 + ... + 224078463.

Almost surely, 2^28457956800 is an apocalyptic number.

28457956800 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 28457956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68293406720).

28457956800 is an abundant number, since it is smaller than the sum of its proper divisors (108128856640).

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

28457956800 is a wasteful number, since it uses less digits than its factorization.

28457956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 28457956800 in words is "twenty-eight billion, four hundred fifty-seven million, nine hundred fifty-six thousand, eight hundred".