328802768 has 80 divisors (see below), whose sum is σ = 756856320. Its totient is φ = 135451008.

The previous prime is 328802759. The next prime is 328802791. The reversal of 328802768 is 867208823.

It is a super-2 number, since 2×328802768² = 216222520488923648, which contains 22 as substring.

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, 322163 + ... + 323181.

It is an arithmetic number, because the mean of its divisors is an integer number (9460704).

Almost surely, 2^328802768 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 328802768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378428160).

328802768 is an abundant number, since it is smaller than the sum of its proper divisors (428053552).

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

328802768 is a wasteful number, since it uses less digits than its factorization.

328802768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 328802768 is about 18132.9194560611. The cubic root of 328802768 is about 690.2056154005.

The spelling of 328802768 in words is "three hundred twenty-eight million, eight hundred two thousand, seven hundred sixty-eight".