189325728 has 144 divisors (see below), whose sum is σ = 583752960. Its totient is φ = 59688576.

The previous prime is 189325681. The next prime is 189325751. The reversal of 189325728 is 827523981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311601 + ... + 312207.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2^189325728 is an apocalyptic number.

189325728 is a gapful number since it is divisible by the number (18) 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 189325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

189325728 is an abundant number, since it is smaller than the sum of its proper divisors (394427232).

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

189325728 is a wasteful number, since it uses less digits than its factorization.

189325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 631 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 189325728 is about 13759.5685978885. The cubic root of 189325728 is about 574.2088456451.

The spelling of 189325728 in words is "one hundred eighty-nine million, three hundred twenty-five thousand, seven hundred twenty-eight".