8128200 has 192 divisors, whose sum is σ = 28569600. Its totient is φ = 1900800.

The previous prime is 8128187. The next prime is 8128213. The reversal of 8128200 is 28218.

It is a Cunningham number, because it is equal to 2851²-1.

It is an interprime number because it is at equal distance from previous prime (8128187) and next prime (8128213).

It is a nialpdrome in base 15.

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, 262185 + ... + 262215.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

Almost surely, 2^8128200 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 8128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

8128200 is an abundant number, since it is smaller than the sum of its proper divisors (20441400).

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

8128200 is a wasteful number, since it uses less digits than its factorization.

8128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8128200 is about 2850.9998246229. Note that the first 3 decimals coincide. The cubic root of 8128200 is about 201.0626769216.

The spelling of 8128200 in words is "eight million, one hundred twenty-eight thousand, two hundred".