28570838400 has 960 divisors, whose sum is σ = 116234487600. Its totient is φ = 6867763200.

The previous prime is 28570838389. The next prime is 28570838407. The reversal of 28570838400 is 483807582.

28570838400 is a `hidden beast` number, since 2 + 8 + 570 + 8 + 38 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28570838407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205545531 + ... + 205545669.

Almost surely, 2^28570838400 is an apocalyptic number.

28570838400 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 28570838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58117243800).

28570838400 is an abundant number, since it is smaller than the sum of its proper divisors (87663649200).

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

28570838400 is a wasteful number, since it uses less digits than its factorization.

28570838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

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

The spelling of 28570838400 in words is "twenty-eight billion, five hundred seventy million, eight hundred thirty-eight thousand, four hundred".