28189992600 has 1056 divisors, whose sum is σ = 126524759040. Its totient is φ = 5668704000.

The previous prime is 28189992487. The next prime is 28189992661. The reversal of 28189992600 is 629998182.

28189992600 is a `hidden beast` number, since 28 + 1 + 8 + 9 + 9 + 9 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 909354585 + ... + 909354615.

Almost surely, 2^28189992600 is an apocalyptic number.

28189992600 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 28189992600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63262379520).

28189992600 is an abundant number, since it is smaller than the sum of its proper divisors (98334766440).

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

28189992600 is a wasteful number, since it uses less digits than its factorization.

28189992600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 28189992600 in words is "twenty-eight billion, one hundred eighty-nine million, nine hundred ninety-two thousand, six hundred".