189251328 has 216 divisors, whose sum is σ = 603977472. Its totient is φ = 52426752.

The previous prime is 189251317. The next prime is 189251339. The reversal of 189251328 is 823152981.

189251328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189251317) and next prime (189251339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1768651 + ... + 1768757.

It is an arithmetic number, because the mean of its divisors is an integer number (2796192).

Almost surely, 2^189251328 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 189251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301988736).

189251328 is an abundant number, since it is smaller than the sum of its proper divisors (414726144).

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

189251328 is a wasteful number, since it uses less digits than its factorization.

189251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 189251328 is about 13756.8647590939. The cubic root of 189251328 is about 574.1336194976.

The spelling of 189251328 in words is "one hundred eighty-nine million, two hundred fifty-one thousand, three hundred twenty-eight".