189196128 has 192 divisors, whose sum is σ = 637943040. Its totient is φ = 53913600.

The previous prime is 189196127. The next prime is 189196157. The reversal of 189196128 is 821691981.

189196128 is a `hidden beast` number, since 18 + 9 + 19 + 612 + 8 = 666.

189196128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189196121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160983 + ... + 162153.

It is an arithmetic number, because the mean of its divisors is an integer number (3322620).

Almost surely, 2^189196128 is an apocalyptic number.

189196128 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 189196128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318971520).

189196128 is an abundant number, since it is smaller than the sum of its proper divisors (448746912).

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

189196128 is a wasteful number, since it uses less digits than its factorization.

189196128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1204 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 189196128 is about 13754.8583416915. The cubic root of 189196128 is about 574.0777938081.

The spelling of 189196128 in words is "one hundred eighty-nine million, one hundred ninety-six thousand, one hundred twenty-eight".