328805568000 has 3200 divisors, whose sum is σ = 1635028851456. Its totient is φ = 63700992000.

The previous prime is 328805567989. The next prime is 328805568053. The reversal of 328805568000 is 865508823.

It is a happy number.

328805568000 is a `hidden beast` number, since 3 + 2 + 8 + 80 + 5 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×328805568000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8019647980 + ... + 8019648020.

Almost surely, 2^328805568000 is an apocalyptic number.

328805568000 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 328805568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817514425728).

328805568000 is an abundant number, since it is smaller than the sum of its proper divisors (1306223283456).

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

328805568000 is a wasteful number, since it uses less digits than its factorization.

328805568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 328805568000 in words is "three hundred twenty-eight billion, eight hundred five million, five hundred sixty-eight thousand".