28750982400 has 1296 divisors, whose sum is σ = 129161177600. Its totient is φ = 6180986880.

The previous prime is 28750982339. The next prime is 28750982401. The reversal of 28750982400 is 428905782.

28750982400 is a `hidden beast` number, since 28 + 7 + 509 + 82 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (28750982401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 206841531 + ... + 206841669.

Almost surely, 2^28750982400 is an apocalyptic number.

28750982400 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 28750982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64580588800).

28750982400 is an abundant number, since it is smaller than the sum of its proper divisors (100410195200).

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

28750982400 is a wasteful number, since it uses less digits than its factorization.

28750982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28750982400 in words is "twenty-eight billion, seven hundred fifty million, nine hundred eighty-two thousand, four hundred".