8500984128 has 336 divisors, whose sum is σ = 31311860160. Its totient is φ = 2241727488.

The previous prime is 8500984097. The next prime is 8500984133. The reversal of 8500984128 is 8214890058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8500984128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1096875 + ... + 1104597.

It is an arithmetic number, because the mean of its divisors is an integer number (93190060).

Almost surely, 2^8500984128 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 8500984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655930080).

8500984128 is an abundant number, since it is smaller than the sum of its proper divisors (22810876032).

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

8500984128 is a wasteful number, since it uses less digits than its factorization.

8500984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 8500984128 is about 92200.7816018932. The cubic root of 8500984128 is about 2040.9063100971.

The spelling of 8500984128 in words is "eight billion, five hundred million, nine hundred eighty-four thousand, one hundred twenty-eight".