28975514400 has 864 divisors, whose sum is σ = 122842137600. Its totient is φ = 6528107520.

The previous prime is 28975514369. The next prime is 28975514411. The reversal of 28975514400 is 441557982.

28975514400 is a `hidden beast` number, since 2 + 8 + 97 + 5 + 514 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145605501 + ... + 145605699.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^28975514400 is an apocalyptic number.

28975514400 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 28975514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61421068800).

28975514400 is an abundant number, since it is smaller than the sum of its proper divisors (93866623200).

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

28975514400 is a wasteful number, since it uses less digits than its factorization.

28975514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 28975514400 in words is "twenty-eight billion, nine hundred seventy-five million, five hundred fourteen thousand, four hundred".