189528192 has 192 divisors, whose sum is σ = 656635200. Its totient is φ = 51259392.

The previous prime is 189528179. The next prime is 189528263. The reversal of 189528192 is 291825981.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152598 + ... + 153834.

It is an arithmetic number, because the mean of its divisors is an integer number (3419975).

Almost surely, 2^189528192 is an apocalyptic number.

189528192 is a gapful number since it is divisible by the number (12) 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 189528192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328317600).

189528192 is an abundant number, since it is smaller than the sum of its proper divisors (467107008).

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

189528192 is a wasteful number, since it uses less digits than its factorization.

189528192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1268 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 189528192 is about 13766.9238394058. The cubic root of 189528192 is about 574.4134580946.

The spelling of 189528192 in words is "one hundred eighty-nine million, five hundred twenty-eight thousand, one hundred ninety-two".