352252628 has 144 divisors (see below), whose sum is σ = 840792960. Its totient is φ = 125349120.

The previous prime is 352252627. The next prime is 352252633. The reversal of 352252628 is 826252253.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352252627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6646250 + ... + 6646302.

It is an arithmetic number, because the mean of its divisors is an integer number (5838840).

Almost surely, 2^352252628 is an apocalyptic number.

352252628 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 352252628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420396480).

352252628 is an abundant number, since it is smaller than the sum of its proper divisors (488540332).

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

352252628 is a wasteful number, since it uses less digits than its factorization.

352252628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 352252628 is about 18768.3943905705. The cubic root of 352252628 is about 706.2385404672.

The spelling of 352252628 in words is "three hundred fifty-two million, two hundred fifty-two thousand, six hundred twenty-eight".