28932422400 has 1620 divisors, whose sum is σ = 133728581448. Its totient is φ = 6131220480.

The previous prime is 28932422381. The next prime is 28932422411. The reversal of 28932422400 is 422423982.

28932422400 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 242 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-4 number, since 4×28932422400⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 431827167 + ... + 431827233.

Almost surely, 2^28932422400 is an apocalyptic number.

28932422400 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 28932422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66864290724).

28932422400 is an abundant number, since it is smaller than the sum of its proper divisors (104796159048).

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

28932422400 is a wasteful number, since it uses less digits than its factorization.

28932422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28932422400 in words is "twenty-eight billion, nine hundred thirty-two million, four hundred twenty-two thousand, four hundred".