8826928128 has 352 divisors, whose sum is σ = 27560808000. Its totient is φ = 2786918400.

The previous prime is 8826928111. The next prime is 8826928133. The reversal of 8826928128 is 8218296288.

It is a happy number.

8826928128 is a `hidden beast` number, since 88 + 269 + 281 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80980938 + ... + 80981046.

It is an arithmetic number, because the mean of its divisors is an integer number (78297750).

Almost surely, 2^8826928128 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 8826928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780404000).

8826928128 is an abundant number, since it is smaller than the sum of its proper divisors (18733879872).

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

8826928128 is a wasteful number, since it uses less digits than its factorization.

8826928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 8826928128 is about 93951.7329696478. The cubic root of 8826928128 is about 2066.6639480135.

The spelling of 8826928128 in words is "eight billion, eight hundred twenty-six million, nine hundred twenty-eight thousand, one hundred twenty-eight".