328672848000 has 512 divisors, whose sum is σ = 1249232025600. Its totient is φ = 74882150400.

The previous prime is 328672847953. The next prime is 328672848011. The reversal of 328672848000 is 848276823.

It is a happy number.

It is a super-2 number, since 2×328672848000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116590591 + ... + 116593409.

It is an arithmetic number, because the mean of its divisors is an integer number (2439906300).

Almost surely, 2^328672848000 is an apocalyptic number.

328672848000 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 328672848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624616012800).

328672848000 is an abundant number, since it is smaller than the sum of its proper divisors (920559177600).

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

328672848000 is a wasteful number, since it uses less digits than its factorization.

328672848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 328672848000 in words is "three hundred twenty-eight billion, six hundred seventy-two million, eight hundred forty-eight thousand".