352028160 has 320 divisors, whose sum is σ = 1367055360. Its totient is φ = 85155840.

The previous prime is 352028141. The next prime is 352028207. The reversal of 352028160 is 61820253.

352028160 is a `hidden beast` number, since 3 + 520 + 2 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760089 + ... + 760551.

It is an arithmetic number, because the mean of its divisors is an integer number (4272048).

Almost surely, 2^352028160 is an apocalyptic number.

352028160 is a gapful number since it is divisible by the number (30) 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 352028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683527680).

352028160 is an abundant number, since it is smaller than the sum of its proper divisors (1015027200).

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

352028160 is a wasteful number, since it uses less digits than its factorization.

352028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 352028160 is about 18762.4134908066. The cubic root of 352028160 is about 706.0884950876.

The spelling of 352028160 in words is "three hundred fifty-two million, twenty-eight thousand, one hundred sixty".