330205128 has 64 divisors (see below), whose sum is σ = 908089920. Its totient is φ = 100052480.

The previous prime is 330205091. The next prime is 330205129. The reversal of 330205128 is 821502033.

330205128 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 330205098 and 330205107.

It is not an unprimeable number, because it can be changed into a prime (330205129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26776 + ... + 37112.

It is an arithmetic number, because the mean of its divisors is an integer number (14188905).

Almost surely, 2^330205128 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 330205128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454044960).

330205128 is an abundant number, since it is smaller than the sum of its proper divisors (577884792).

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

330205128 is a wasteful number, since it uses less digits than its factorization.

330205128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 330205128 is about 18171.5472098553. The cubic root of 330205128 is about 691.1854773130.

The spelling of 330205128 in words is "three hundred thirty million, two hundred five thousand, one hundred twenty-eight".