506189328 has 80 divisors (see below), whose sum is σ = 1358770176. Its totient is φ = 162207360.

The previous prime is 506189323. The next prime is 506189329. The reversal of 506189328 is 823981605.

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 a self number, because there is not a number n which added to its sum of digits gives 506189328.

It is not an unprimeable number, because it can be changed into a prime (506189323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241501 + ... + 243587.

Almost surely, 2^506189328 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 506189328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679385088).

506189328 is an abundant number, since it is smaller than the sum of its proper divisors (852580848).

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

506189328 is a wasteful number, since it uses less digits than its factorization.

506189328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 506189328 is about 22498.6516929348. The cubic root of 506189328 is about 796.9620867899.

The spelling of 506189328 in words is "five hundred six million, one hundred eighty-nine thousand, three hundred twenty-eight".