508968328 has 96 divisors (see below), whose sum is σ = 1113134400. Its totient is φ = 216070400.

The previous prime is 508968227. The next prime is 508968347. The reversal of 508968328 is 823869805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7168533 + ... + 7168603.

It is an arithmetic number, because the mean of its divisors is an integer number (11595150).

Almost surely, 2^508968328 is an apocalyptic number.

508968328 is a gapful number since it is divisible by the number (58) 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 508968328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556567200).

508968328 is an abundant number, since it is smaller than the sum of its proper divisors (604166072).

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

508968328 is a wasteful number, since it uses less digits than its factorization.

508968328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 508968328 is about 22560.3264160783. The cubic root of 508968328 is about 798.4178773391.

The spelling of 508968328 in words is "five hundred eight million, nine hundred sixty-eight thousand, three hundred twenty-eight".