189228960 has 288 divisors, whose sum is σ = 695665152. Its totient is φ = 48522240.

The previous prime is 189228953. The next prime is 189228997. The reversal of 189228960 is 69822981.

189228960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205202 + ... + 1205358.

It is an arithmetic number, because the mean of its divisors is an integer number (2415504).

Almost surely, 2^189228960 is an apocalyptic number.

189228960 is a gapful number since it is divisible by the number (10) 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 189228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347832576).

189228960 is an abundant number, since it is smaller than the sum of its proper divisors (506436192).

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

189228960 is a wasteful number, since it uses less digits than its factorization.

189228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 189228960 is about 13756.0517591350. The cubic root of 189228960 is about 574.1109992657.

The spelling of 189228960 in words is "one hundred eighty-nine million, two hundred twenty-eight thousand, nine hundred sixty".