328616310528 has 288 divisors, whose sum is σ = 1073227545600. Its totient is φ = 99578833920.

The previous prime is 328616310527. The next prime is 328616310577. The reversal of 328616310528 is 825013616823.

328616310528 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 1 + 631 + 0 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328616310527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6131913 + ... + 6185271.

Almost surely, 2^328616310528 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 328616310528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536613772800).

328616310528 is an abundant number, since it is smaller than the sum of its proper divisors (744611235072).

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

328616310528 is an frugal number, since it uses more digits than its factorization.

328616310528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53407 (or 53375 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 328616310528 in words is "three hundred twenty-eight billion, six hundred sixteen million, three hundred ten thousand, five hundred twenty-eight".