327828717216 has 432 divisors, whose sum is σ = 1274069448288. Its totient is φ = 78599808000.

The previous prime is 327828717193. The next prime is 327828717253. The reversal of 327828717216 is 612717828723.

327828717216 is a `hidden beast` number, since 327 + 8 + 287 + 17 + 21 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1936791 + ... + 2099241.

It is an arithmetic number, because the mean of its divisors is an integer number (2949234834).

Almost surely, 2^327828717216 is an apocalyptic number.

327828717216 is a gapful number since it is divisible by the number (36) 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 327828717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637034724144).

327828717216 is an abundant number, since it is smaller than the sum of its proper divisors (946240731072).

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

327828717216 is a wasteful number, since it uses less digits than its factorization.

327828717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162505 (or 162487 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 327828717216 in words is "three hundred twenty-seven billion, eight hundred twenty-eight million, seven hundred seventeen thousand, two hundred sixteen".