8006128200 has 576 divisors, whose sum is σ = 32188416000. Its totient is φ = 1744934400.

The previous prime is 8006128187. The next prime is 8006128201. The reversal of 8006128200 is 28216008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006128201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40231701 + ... + 40231899.

Almost surely, 2^8006128200 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 8006128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094208000).

8006128200 is an abundant number, since it is smaller than the sum of its proper divisors (24182287800).

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

8006128200 is a wasteful number, since it uses less digits than its factorization.

8006128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8006128200 is about 89476.9702213927. The cubic root of 8006128200 is about 2000.5105529901.

The spelling of 8006128200 in words is "eight billion, six million, one hundred twenty-eight thousand, two hundred".