328431262723200 has 10368 divisors, whose sum is σ = 1694857652167680. Its totient is φ = 61333664071680.

The previous prime is 328431262723099. The next prime is 328431262723261. The reversal of 328431262723200 is 2327262134823.

328431262723200 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 3 + 12 + 627 + 2 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

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

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 7637936342379 + ... + 7637936342421.

It is an arithmetic number, because the mean of its divisors is an integer number (163470066760).

Almost surely, 2^{328431262723200} is an apocalyptic number.

328431262723200 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 328431262723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847428826083840).

328431262723200 is an abundant number, since it is smaller than the sum of its proper divisors (1366426389444480).

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

328431262723200 is a wasteful number, since it uses less digits than its factorization.

328431262723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 328431262723200 in words is "three hundred twenty-eight trillion, four hundred thirty-one billion, two hundred sixty-two million, seven hundred twenty-three thousand, two hundred".