330025728 has 144 divisors (see below), whose sum is σ = 923037696. Its totient is φ = 104570880.

The previous prime is 330025727. The next prime is 330025819. The reversal of 330025728 is 827520033.

It is a super-2 number, since 2×330025728² = 217833962283859968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330025695 and 330025704.

It is not an unprimeable number, because it can be changed into a prime (330025723) 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 15 ways as a sum of consecutive naturals, for example, 1479825 + ... + 1480047.

It is an arithmetic number, because the mean of its divisors is an integer number (6409984).

Almost surely, 2^330025728 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 330025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461518848).

330025728 is an abundant number, since it is smaller than the sum of its proper divisors (593011968).

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

330025728 is a wasteful number, since it uses less digits than its factorization.

330025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 330025728 is about 18166.6102506769. The cubic root of 330025728 is about 691.0602812586.

The spelling of 330025728 in words is "three hundred thirty million, twenty-five thousand, seven hundred twenty-eight".