328827594240 has 480 divisors, whose sum is σ = 1185036652800. Its totient is φ = 84164935680.

The previous prime is 328827594223. The next prime is 328827594241. The reversal of 328827594240 is 42495728823.

328827594240 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 2 + 7 + 594 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328827594241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120935601 + ... + 120938319.

It is an arithmetic number, because the mean of its divisors is an integer number (2468826360).

Almost surely, 2^328827594240 is an apocalyptic number.

328827594240 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 328827594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592518326400).

328827594240 is an abundant number, since it is smaller than the sum of its proper divisors (856209058560).

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

328827594240 is a wasteful number, since it uses less digits than its factorization.

328827594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 328827594240 in words is "three hundred twenty-eight billion, eight hundred twenty-seven million, five hundred ninety-four thousand, two hundred forty".