352928832 has 56 divisors (see below), whose sum is σ = 942112416. Its totient is φ = 116594688.

The previous prime is 352928791. The next prime is 352928833. The reversal of 352928832 is 238829253.

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 not an unprimeable number, because it can be changed into a prime (352928833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13563 + ... + 29829.

It is an arithmetic number, because the mean of its divisors is an integer number (16823436).

Almost surely, 2^352928832 is an apocalyptic number.

352928832 is a gapful number since it is divisible by the number (32) 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 352928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471056208).

352928832 is an abundant number, since it is smaller than the sum of its proper divisors (589183584).

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

352928832 is a wasteful number, since it uses less digits than its factorization.

352928832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16395 (or 16385 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 352928832 is about 18786.4001873696. The cubic root of 352928832 is about 706.6901633736.

The spelling of 352928832 in words is "three hundred fifty-two million, nine hundred twenty-eight thousand, eight hundred thirty-two".