328073415948 has 144 divisors (see below), whose sum is σ = 918354528000. Its totient is φ = 98333875584.

The previous prime is 328073415947. The next prime is 328073416003. The reversal of 328073415948 is 849514370823.

It is a happy number.

328073415948 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 7 + 3 + 41 + 594 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 328073415894 and 328073415903.

It is not an unprimeable number, because it can be changed into a prime (328073415947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030161 + ... + 1310487.

It is an arithmetic number, because the mean of its divisors is an integer number (6377462000).

Almost surely, 2^328073415948 is an apocalyptic number.

328073415948 is a gapful number since it is divisible by the number (38) 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 328073415948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459177264000).

328073415948 is an abundant number, since it is smaller than the sum of its proper divisors (590281112052).

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

328073415948 is a wasteful number, since it uses less digits than its factorization.

328073415948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280444 (or 280439 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 328073415948 in words is "three hundred twenty-eight billion, seventy-three million, four hundred fifteen thousand, nine hundred forty-eight".