328433580 has 144 divisors (see below), whose sum is σ = 1026043200. Its totient is φ = 85003776.

The previous prime is 328433519. The next prime is 328433617. The reversal of 328433580 is 85334823.

328433580 is a `hidden beast` number, since 32 + 8 + 43 + 3 + 580 = 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 47 ways as a sum of consecutive naturals, for example, 1650321 + ... + 1650519.

It is an arithmetic number, because the mean of its divisors is an integer number (7125300).

Almost surely, 2^328433580 is an apocalyptic number.

328433580 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 328433580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513021600).

328433580 is an abundant number, since it is smaller than the sum of its proper divisors (697609620).

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

328433580 is a wasteful number, since it uses less digits than its factorization.

328433580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 328433580 is about 18122.7365483251. The cubic root of 328433580 is about 689.9471919258.

It can be divided in two parts, 3284 and 33580, that added together give a square (36864 = 192²).

The spelling of 328433580 in words is "three hundred twenty-eight million, four hundred thirty-three thousand, five hundred eighty".