328419840 has 320 divisors, whose sum is σ = 1237420800. Its totient is φ = 72744960.

The previous prime is 328419823. The next prime is 328419869. The reversal of 328419840 is 48914823.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204086 + ... + 2204234.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^328419840 is an apocalyptic number.

328419840 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 328419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

328419840 is an abundant number, since it is smaller than the sum of its proper divisors (909000960).

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

328419840 is a wasteful number, since it uses less digits than its factorization.

328419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 328419840 is about 18122.3574625378. The cubic root of 328419840 is about 689.9375704912.

The spelling of 328419840 in words is "three hundred twenty-eight million, four hundred nineteen thousand, eight hundred forty".