352284928 has 144 divisors (see below), whose sum is σ = 800593920. Its totient is φ = 153888768.

The previous prime is 352284913. The next prime is 352284941. The reversal of 352284928 is 829482253.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5257951 + ... + 5258017.

It is an arithmetic number, because the mean of its divisors is an integer number (5559680).

Almost surely, 2^352284928 is an apocalyptic number.

352284928 is a gapful number since it is divisible by the number (38) 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 352284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400296960).

352284928 is an abundant number, since it is smaller than the sum of its proper divisors (448308992).

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

352284928 is a wasteful number, since it uses less digits than its factorization.

352284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 352284928 is about 18769.2548600098. The cubic root of 352284928 is about 706.2601261189.

The spelling of 352284928 in words is "three hundred fifty-two million, two hundred eighty-four thousand, nine hundred twenty-eight".