28175846400 has 792 divisors, whose sum is σ = 113643872160. Its totient is φ = 6617825280.

The previous prime is 28175846399. The next prime is 28175846411. The reversal of 28175846400 is 464857182.

28175846400 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 584 + 64 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 68889396 + ... + 68889804.

Almost surely, 2^28175846400 is an apocalyptic number.

28175846400 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 28175846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56821936080).

28175846400 is an abundant number, since it is smaller than the sum of its proper divisors (85468025760).

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

28175846400 is a wasteful number, since it uses less digits than its factorization.

28175846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

It can be divided in two parts, 281 and 75846400, that added together give a square (75846681 = 8709²).

The spelling of 28175846400 in words is "twenty-eight billion, one hundred seventy-five million, eight hundred forty-six thousand, four hundred".