330841728 has 144 divisors (see below), whose sum is σ = 1107654210. Its totient is φ = 94510080.

The previous prime is 330841727. The next prime is 330841759. The reversal of 330841728 is 827148033.

It can be written as a sum of positive squares in only one way, i.e., 287913024 + 42928704 = 16968^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 330841692 and 330841701.

It is not an unprimeable number, because it can be changed into a prime (330841727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53518 + ... + 59378.

Almost surely, 2^330841728 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 330841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553827105).

330841728 is an abundant number, since it is smaller than the sum of its proper divisors (776812482).

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

330841728 is a wasteful number, since it uses less digits than its factorization.

330841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 330841728 is about 18189.0551706239. The cubic root of 330841728 is about 691.6293692828.

The spelling of 330841728 in words is "three hundred thirty million, eight hundred forty-one thousand, seven hundred twenty-eight".