189253824 has 56 divisors (see below), whose sum is σ = 502115328. Its totient is φ = 62910720.

The previous prime is 189253817. The next prime is 189253847. The reversal of 189253824 is 428352981.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81609 + ... + 83895.

Almost surely, 2^189253824 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 189253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251057664).

189253824 is an abundant number, since it is smaller than the sum of its proper divisors (312861504).

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

189253824 is a wasteful number, since it uses less digits than its factorization.

189253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2723 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 189253824 is about 13756.9554771396. The cubic root of 189253824 is about 574.1361435331.

The spelling of 189253824 in words is "one hundred eighty-nine million, two hundred fifty-three thousand, eight hundred twenty-four".