352664928 has 576 divisors, whose sum is σ = 1408942080. Its totient is φ = 83980800.

The previous prime is 352664899. The next prime is 352664929. The reversal of 352664928 is 829466253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352664929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11376273 + ... + 11376303.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^352664928 is an apocalyptic number.

352664928 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 352664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

352664928 is an abundant number, since it is smaller than the sum of its proper divisors (1056277152).

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

352664928 is a wasteful number, since it uses less digits than its factorization.

352664928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 352664928 is about 18779.3750694745. The cubic root of 352664928 is about 706.5139759497.

The spelling of 352664928 in words is "three hundred fifty-two million, six hundred sixty-four thousand, nine hundred twenty-eight".