330728200 has 192 divisors, whose sum is σ = 916012800. Its totient is φ = 109670400.

The previous prime is 330728197. The next prime is 330728213. The reversal of 330728200 is 2827033.

It is a happy number.

It is a super-2 number, since 2×330728200² = 218762284550480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383681 + ... + 1383919.

It is an arithmetic number, because the mean of its divisors is an integer number (4770900).

Almost surely, 2^330728200 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 330728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458006400).

330728200 is an abundant number, since it is smaller than the sum of its proper divisors (585284600).

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

330728200 is a wasteful number, since it uses less digits than its factorization.

330728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 330728200 is about 18185.9341250319. The cubic root of 330728200 is about 691.5502495957.

The spelling of 330728200 in words is "three hundred thirty million, seven hundred twenty-eight thousand, two hundred".