328505760 has 384 divisors, whose sum is σ = 1300561920. Its totient is φ = 76723200.

The previous prime is 328505753. The next prime is 328505797. The reversal of 328505760 is 67505823.

328505760 is a `hidden beast` number, since 3 + 2 + 85 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473009 + ... + 1473231.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^328505760 is an apocalyptic number.

328505760 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 328505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

328505760 is an abundant number, since it is smaller than the sum of its proper divisors (972056160).

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

328505760 is a wasteful number, since it uses less digits than its factorization.

328505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 328505760 is about 18124.7278600259. The cubic root of 328505760 is about 689.9977315615.

The spelling of 328505760 in words is "three hundred twenty-eight million, five hundred five thousand, seven hundred sixty".