189389952 has 96 divisors (see below), whose sum is σ = 563881500. Its totient is φ = 60942336.

The previous prime is 189389951. The next prime is 189389969. The reversal of 189389952 is 259983981.

It can be written as a sum of positive squares in 2 ways, for example, as 186486336 + 2903616 = 13656^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (189389951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30574 + ... + 36242.

Almost surely, 2^189389952 is an apocalyptic number.

189389952 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 189389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281940750).

189389952 is an abundant number, since it is smaller than the sum of its proper divisors (374491548).

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

189389952 is a wasteful number, since it uses less digits than its factorization.

189389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5703 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 189389952 is about 13761.9021941009. The cubic root of 189389952 is about 574.2737669496.

The spelling of 189389952 in words is "one hundred eighty-nine million, three hundred eighty-nine thousand, nine hundred fifty-two".