328533135840 has 960 divisors, whose sum is σ = 1457621028864. Its totient is φ = 67830607872.

The previous prime is 328533135839. The next prime is 328533135871. The reversal of 328533135840 is 48531335823.

328533135840 is a `hidden beast` number, since 3 + 2 + 8 + 53 + 3 + 13 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55426957 + ... + 55432883.

Almost surely, 2^328533135840 is an apocalyptic number.

328533135840 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 328533135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728810514432).

328533135840 is an abundant number, since it is smaller than the sum of its proper divisors (1129087893024).

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

328533135840 is a wasteful number, since it uses less digits than its factorization.

328533135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 328533135840 in words is "three hundred twenty-eight billion, five hundred thirty-three million, one hundred thirty-five thousand, eight hundred forty".