328290840 has 128 divisors (see below), whose sum is σ = 1098360000. Its totient is φ = 87220224.

The previous prime is 328290839. The next prime is 328290857. The reversal of 328290840 is 48092823.

328290840 is a `hidden beast` number, since 328 + 290 + 8 + 40 = 666.

328290840 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 = 328290795 and 328290804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484582 + ... + 485258.

Almost surely, 2^328290840 is an apocalyptic number.

328290840 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 328290840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549180000).

328290840 is an abundant number, since it is smaller than the sum of its proper divisors (770069160).

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

328290840 is a wasteful number, since it uses less digits than its factorization.

328290840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 328290840 is about 18118.7979733756. The cubic root of 328290840 is about 689.8472251554.

The spelling of 328290840 in words is "three hundred twenty-eight million, two hundred ninety thousand, eight hundred forty".