28116925200 has 1440 divisors, whose sum is σ = 129326305920. Its totient is φ = 5748019200.

The previous prime is 28116925163. The next prime is 28116925217. The reversal of 28116925200 is 252961182.

It is a super-2 number, since 2×28116925200² (a number of 22 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 419655567 + ... + 419655633.

Almost surely, 2^28116925200 is an apocalyptic number.

28116925200 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 28116925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64663152960).

28116925200 is an abundant number, since it is smaller than the sum of its proper divisors (101209380720).

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

28116925200 is a wasteful number, since it uses less digits than its factorization.

28116925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 28116925200 in words is "twenty-eight billion, one hundred sixteen million, nine hundred twenty-five thousand, two hundred".