8128677228000 has 1152 divisors, whose sum is σ = 33171580391040. Its totient is φ = 1728852787200.

The previous prime is 8128677227999. The next prime is 8128677228031. The reversal of 8128677228000 is 8227768218.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 889639432 + ... + 889648568.

It is an arithmetic number, because the mean of its divisors is an integer number (28794774645).

Almost surely, 2^{8128677228000} is an apocalyptic number.

8128677228000 is a gapful number since it is divisible by the number (80) 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 8128677228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585790195520).

8128677228000 is an abundant number, since it is smaller than the sum of its proper divisors (25042903163040).

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

8128677228000 is a wasteful number, since it uses less digits than its factorization.

8128677228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 8128677228000 in words is "eight trillion, one hundred twenty-eight billion, six hundred seventy-seven million, two hundred twenty-eight thousand".