328003458048 has 440 divisors, whose sum is σ = 1123016820992. Its totient is φ = 93413523456.

The previous prime is 328003458047. The next prime is 328003458073. The reversal of 328003458048 is 840854300823.

328003458048 is a `hidden beast` number, since 3 + 28 + 0 + 0 + 3 + 4 + 580 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 328003457994 and 328003458012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328003458047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230500665 + ... + 230502087.

Almost surely, 2^328003458048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328003458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561508410496).

328003458048 is an abundant number, since it is smaller than the sum of its proper divisors (795013362944).

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

328003458048 is a wasteful number, since it uses less digits than its factorization.

328003458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 328003458048 in words is "three hundred twenty-eight billion, three million, four hundred fifty-eight thousand, forty-eight".