352428160 has 128 divisors (see below), whose sum is σ = 974010240. Its totient is φ = 119439360.

The previous prime is 352428157. The next prime is 352428179. The reversal of 352428160 is 61824253.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434155 + ... + 434965.

It is an arithmetic number, because the mean of its divisors is an integer number (7609455).

Almost surely, 2^352428160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487005120).

352428160 is an abundant number, since it is smaller than the sum of its proper divisors (621582080).

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

352428160 is an equidigital number, since it uses as much as digits as its factorization.

352428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 352428160 is about 18773.0700739117. The cubic root of 352428160 is about 706.3558302263.

It can be divided in two parts, 3524 and 28160, that added together give a square (31684 = 178²).

The spelling of 352428160 in words is "three hundred fifty-two million, four hundred twenty-eight thousand, one hundred sixty".