328297017600 has 540 divisors, whose sum is σ = 1277789553040. Its totient is φ = 82935705600.

The previous prime is 328297017589. The next prime is 328297017611. The reversal of 328297017600 is 6710792823.

328297017600 is a `hidden beast` number, since 3 + 2 + 8 + 29 + 7 + 0 + 17 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (328297017589) and next prime (328297017611).

It is a tau number, because it is divible by the number of its divisors (540).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9832935 + ... + 9866265.

Almost surely, 2^328297017600 is an apocalyptic number.

328297017600 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 328297017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638894776520).

328297017600 is an abundant number, since it is smaller than the sum of its proper divisors (949492535440).

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

328297017600 is a wasteful number, since it uses less digits than its factorization.

328297017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33388 (or 33360 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 328297017600 in words is "three hundred twenty-eight billion, two hundred ninety-seven million, seventeen thousand, six hundred".