328818240 has 336 divisors, whose sum is σ = 1217249280. Its totient is φ = 81285120.

The previous prime is 328818227. The next prime is 328818277. The reversal of 328818240 is 42818823.

It is a happy number.

328818240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328818195 and 328818204.

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 47 ways as a sum of consecutive naturals, for example, 2589057 + ... + 2589183.

Almost surely, 2^328818240 is an apocalyptic number.

328818240 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 328818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608624640).

328818240 is an abundant number, since it is smaller than the sum of its proper divisors (888431040).

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

328818240 is a wasteful number, since it uses less digits than its factorization.

328818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 328818240 is about 18133.3460784269. The cubic root of 328818240 is about 690.2164412357.

It can be divided in two parts, 3288 and 18240, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 328818240 in words is "three hundred twenty-eight million, eight hundred eighteen thousand, two hundred forty".