189428607133792 has 192 divisors, whose sum is σ = 422587317196800. Its totient is φ = 82978025195520.

The previous prime is 189428607133699. The next prime is 189428607133849. The reversal of 189428607133792 is 297331706824981.

It is a super-3 number, since 3×189428607133792³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 215905917 + ... + 216781507.

It is an arithmetic number, because the mean of its divisors is an integer number (2200975610400).

Almost surely, 2^{189428607133792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189428607133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211293658598400).

189428607133792 is an abundant number, since it is smaller than the sum of its proper divisors (233158710063008).

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

189428607133792 is a wasteful number, since it uses less digits than its factorization.

189428607133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875949 (or 875941 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 70.

The spelling of 189428607133792 in words is "one hundred eighty-nine trillion, four hundred twenty-eight billion, six hundred seven million, one hundred thirty-three thousand, seven hundred ninety-two".