329705328 has 80 divisors (see below), whose sum is σ = 906053120. Its totient is φ = 103016448.

The previous prime is 329705297. The next prime is 329705333. The reversal of 329705328 is 823507923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86601 + ... + 90327.

It is an arithmetic number, because the mean of its divisors is an integer number (11325664).

Almost surely, 2^329705328 is an apocalyptic number.

329705328 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 329705328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453026560).

329705328 is an abundant number, since it is smaller than the sum of its proper divisors (576347792).

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

329705328 is a wasteful number, since it uses less digits than its factorization.

329705328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 329705328 is about 18157.7897333348. The cubic root of 329705328 is about 690.8365740477.

It can be divided in two parts, 329705 and 328, that added together give a palindrome (330033).

The spelling of 329705328 in words is "three hundred twenty-nine million, seven hundred five thousand, three hundred twenty-eight".