189765828 has 90 divisors (see below), whose sum is σ = 577127166. Its totient is φ = 54214272.

The previous prime is 189765827. The next prime is 189765833. The reversal of 189765828 is 828567981.

189765828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 4588164 = 13608^2 + 2142^2 .

It is a super-2 number, since 2×189765828² = 72022138953051168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (189765827) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9900 + ... + 21852.

Almost surely, 2^189765828 is an apocalyptic number.

189765828 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 189765828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288563583).

189765828 is an abundant number, since it is smaller than the sum of its proper divisors (387361338).

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

189765828 is a wasteful number, since it uses less digits than its factorization.

189765828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11983 (or 11965 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 189765828 is about 13775.5518219779. The cubic root of 189765828 is about 574.6534299690.

The spelling of 189765828 in words is "one hundred eighty-nine million, seven hundred sixty-five thousand, eight hundred twenty-eight".