328471122844800 has 768 divisors, whose sum is σ = 1303897472304000. Its totient is φ = 80272705536000.

The previous prime is 328471122844759. The next prime is 328471122844801. The reversal of 328471122844800 is 8448221174823.

328471122844800 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 71 + 12 + 2 + 84 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (328471122844801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155072850 + ... + 157176750.

Almost surely, 2^{328471122844800} is an apocalyptic number.

328471122844800 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 328471122844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651948736152000).

328471122844800 is an abundant number, since it is smaller than the sum of its proper divisors (975426349459200).

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

328471122844800 is a wasteful number, since it uses less digits than its factorization.

328471122844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104086 (or 2104063 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 328471122844800 in words is "three hundred twenty-eight trillion, four hundred seventy-one billion, one hundred twenty-two million, eight hundred forty-four thousand, eight hundred".