328384980 has 576 divisors, whose sum is σ = 1383782400. Its totient is φ = 60963840.

The previous prime is 328384939. The next prime is 328384981. The reversal of 328384980 is 89483823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328384981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7636839 + ... + 7636881.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2^328384980 is an apocalyptic number.

328384980 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 328384980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

328384980 is an abundant number, since it is smaller than the sum of its proper divisors (1055397420).

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

328384980 is a wasteful number, since it uses less digits than its factorization.

328384980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 328384980 is about 18121.3956416166. The cubic root of 328384980 is about 689.9131585731.

The spelling of 328384980 in words is "three hundred twenty-eight million, three hundred eighty-four thousand, nine hundred eighty".