328357960600320 has 1800 divisors, whose sum is σ = 1426956804925344. Its totient is φ = 70625311064064.

The previous prime is 328357960600283. The next prime is 328357960600357. The reversal of 328357960600320 is 23006069753823.

It is a happy number.

328357960600320 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 5 + 7 + 9 + 6 + 0 + 600 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (328357960600283) and next prime (328357960600357).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 60616198252 + ... + 60616203668.

Almost surely, 2^{328357960600320} is an apocalyptic number.

328357960600320 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 328357960600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713478402462672).

328357960600320 is an abundant number, since it is smaller than the sum of its proper divisors (1098598844325024).

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

328357960600320 is an frugal number, since it uses more digits than its factorization.

328357960600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 328357960600320 in words is "three hundred twenty-eight trillion, three hundred fifty-seven billion, nine hundred sixty million, six hundred thousand, three hundred twenty".