328005300081600 has 504 divisors, whose sum is σ = 1227394146151680. Its totient is φ = 82849132800000.

The previous prime is 328005300081593. The next prime is 328005300081607. The reversal of 328005300081600 is 6180003500823.

328005300081600 is a `hidden beast` number, since 32 + 80 + 0 + 530 + 0 + 0 + 8 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (328005300081593) and next prime (328005300081607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328005300081607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1513173225 + ... + 1513389975.

Almost surely, 2^{328005300081600} is an apocalyptic number.

328005300081600 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 328005300081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613697073075840).

328005300081600 is an abundant number, since it is smaller than the sum of its proper divisors (899388846070080).

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

328005300081600 is a wasteful number, since it uses less digits than its factorization.

328005300081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222329 (or 222311 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 328005300081600 in words is "three hundred twenty-eight trillion, five billion, three hundred million, eighty-one thousand, six hundred".