28189793923200 has 1728 divisors, whose sum is σ = 130680262177920. Its totient is φ = 5947632230400.

The previous prime is 28189793923189. The next prime is 28189793923217. The reversal of 28189793923200 is 232939798182.

28189793923200 is a `hidden beast` number, since 2 + 81 + 89 + 79 + 3 + 92 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 495302745 + ... + 495359655.

Almost surely, 2^{28189793923200} is an apocalyptic number.

28189793923200 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 28189793923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340131088960).

28189793923200 is an abundant number, since it is smaller than the sum of its proper divisors (102490468254720).

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

28189793923200 is a wasteful number, since it uses less digits than its factorization.

28189793923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56977 (or 56941 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 28189793923200 in words is "twenty-eight trillion, one hundred eighty-nine billion, seven hundred ninety-three million, nine hundred twenty-three thousand, two hundred".