328295127600 has 960 divisors, whose sum is σ = 1341372718080. Its totient is φ = 75484569600.

The previous prime is 328295127599. The next prime is 328295127653. The reversal of 328295127600 is 6721592823.

328295127600 is a `hidden beast` number, since 3 + 2 + 8 + 29 + 5 + 12 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374338362 + ... + 374339238.

It is an arithmetic number, because the mean of its divisors is an integer number (1397263248).

Almost surely, 2^328295127600 is an apocalyptic number.

328295127600 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 328295127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670686359040).

328295127600 is an abundant number, since it is smaller than the sum of its proper divisors (1013077590480).

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

328295127600 is a wasteful number, since it uses less digits than its factorization.

328295127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 328295127600 in words is "three hundred twenty-eight billion, two hundred ninety-five million, one hundred twenty-seven thousand, six hundred".