352528064 has 56 divisors (see below), whose sum is σ = 810816768. Its totient is φ = 148942080.

The previous prime is 352528019. The next prime is 352528079. The reversal of 352528064 is 460825253.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26267 + ... + 37349.

Almost surely, 2^352528064 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 352528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405408384).

352528064 is an abundant number, since it is smaller than the sum of its proper divisors (458288704).

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

352528064 is a wasteful number, since it uses less digits than its factorization.

352528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173 (or 11163 counting only the distinct ones).

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

The square root of 352528064 is about 18775.7307181372. The cubic root of 352528064 is about 706.4225682776.

The spelling of 352528064 in words is "three hundred fifty-two million, five hundred twenty-eight thousand, sixty-four".