328146435840 has 576 divisors, whose sum is σ = 1132934584320. Its totient is φ = 80652533760.

The previous prime is 328146435839. The next prime is 328146435853. The reversal of 328146435840 is 48534641823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 328146435840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761360425 + ... + 761360855.

It is an arithmetic number, because the mean of its divisors is an integer number (1966900320).

Almost surely, 2^328146435840 is an apocalyptic number.

328146435840 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 328146435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566467292160).

328146435840 is an abundant number, since it is smaller than the sum of its proper divisors (804788148480).

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

328146435840 is a wasteful number, since it uses less digits than its factorization.

328146435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 328146435840 in words is "three hundred twenty-eight billion, one hundred forty-six million, four hundred thirty-five thousand, eight hundred forty".