6328200 has 96 divisors (see below), whose sum is σ = 20088000. Its totient is φ = 1647360.

The previous prime is 6328193. The next prime is 6328207. The reversal of 6328200 is 28236.

It is an interprime number because it is at equal distance from previous prime (6328193) and next prime (6328207).

It is a super-2 number, since 2×6328200² = 80092230480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6328207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31701 + ... + 31899.

It is an arithmetic number, because the mean of its divisors is an integer number (209250).

Almost surely, 2^6328200 is an apocalyptic number.

6328200 is a gapful number since it is divisible by the number (60) 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 6328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044000).

6328200 is an abundant number, since it is smaller than the sum of its proper divisors (13759800).

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

6328200 is a wasteful number, since it uses less digits than its factorization.

6328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6328200 is about 2515.5913817629. The cubic root of 6328200 is about 184.9666363014.

The spelling of 6328200 in words is "six million, three hundred twenty-eight thousand, two hundred".