328635840 has 224 divisors, whose sum is σ = 1190548800. Its totient is φ = 76087296.

The previous prime is 328635833. The next prime is 328635863. The reversal of 328635840 is 48536823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 211386 + ... + 212934.

It is an arithmetic number, because the mean of its divisors is an integer number (5314950).

Almost surely, 2^328635840 is an apocalyptic number.

328635840 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 328635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595274400).

328635840 is an abundant number, since it is smaller than the sum of its proper divisors (861912960).

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

328635840 is a wasteful number, since it uses less digits than its factorization.

328635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 328635840 is about 18128.3159725331. The cubic root of 328635840 is about 690.0887934459.

The spelling of 328635840 in words is "three hundred twenty-eight million, six hundred thirty-five thousand, eight hundred forty".