13328200 has 48 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 5271360.

The previous prime is 13328179. The next prime is 13328207. The reversal of 13328200 is 282331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13328207) 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 11 ways as a sum of consecutive naturals, for example, 20277 + ... + 20923.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^13328200 is an apocalyptic number.

13328200 is a gapful number since it is divisible by the number (10) 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 13328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

13328200 is an abundant number, since it is smaller than the sum of its proper divisors (18009080).

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

13328200 is a wasteful number, since it uses less digits than its factorization.

13328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13328200 is about 3650.7807384175. The cubic root of 13328200 is about 237.0957851949.

The spelling of 13328200 in words is "thirteen million, three hundred twenty-eight thousand, two hundred".