330028800 has 108 divisors (see below), whose sum is σ = 1089227160. Its totient is φ = 88002560.

The previous prime is 330028799. The next prime is 330028807. The reversal of 330028800 is 8820033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330028807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10606 + ... + 27794.

Almost surely, 2^330028800 is an apocalyptic number.

330028800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544613580).

330028800 is an abundant number, since it is smaller than the sum of its proper divisors (759198360).

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

330028800 is a wasteful number, since it uses less digits than its factorization.

330028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17218 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 330028800 is about 18166.6948012015. The cubic root of 330028800 is about 691.0624254657.

Adding to 330028800 its reverse (8820033), we get a palindrome (338848833).

The spelling of 330028800 in words is "three hundred thirty million, twenty-eight thousand, eight hundred".