328383768600 has 240 divisors, whose sum is σ = 1143014922720. Its totient is φ = 87377875200.

The previous prime is 328383768553. The next prime is 328383768613. The reversal of 328383768600 is 6867383823.

328383768600 is a `hidden beast` number, since 3 + 28 + 3 + 8 + 3 + 7 + 6 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7478710 + ... + 7522490.

It is an arithmetic number, because the mean of its divisors is an integer number (4762562178).

Almost surely, 2^328383768600 is an apocalyptic number.

328383768600 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 328383768600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571507461360).

328383768600 is an abundant number, since it is smaller than the sum of its proper divisors (814631154120).

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

328383768600 is a wasteful number, since it uses less digits than its factorization.

328383768600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44272 (or 44254 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 328383768600 in words is "three hundred twenty-eight billion, three hundred eighty-three million, seven hundred sixty-eight thousand, six hundred".