328001735040 has 512 divisors, whose sum is σ = 1245307392000. Its totient is φ = 73369755648.

The previous prime is 328001735027. The next prime is 328001735077. The reversal of 328001735040 is 40537100823.

It is a junction number, because it is equal to n+sod(n) for n = 328001734992 and 328001735010.

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, 30947022 + ... + 30957618.

It is an arithmetic number, because the mean of its divisors is an integer number (2432241000).

Almost surely, 2^328001735040 is an apocalyptic number.

328001735040 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 328001735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622653696000).

328001735040 is an abundant number, since it is smaller than the sum of its proper divisors (917305656960).

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

328001735040 is a wasteful number, since it uses less digits than its factorization.

328001735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 328001735040 its reverse (40537100823), we get a palindrome (368538835863).

The spelling of 328001735040 in words is "three hundred twenty-eight billion, one million, seven hundred thirty-five thousand, forty".