8274273128 has 64 divisors (see below), whose sum is σ = 17113187520. Its totient is φ = 3719296000.

The previous prime is 8274273101. The next prime is 8274273143. The reversal of 8274273128 is 8213724728.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6970151 + ... + 6971337.

It is an arithmetic number, because the mean of its divisors is an integer number (267393555).

Almost surely, 2^8274273128 is an apocalyptic number.

8274273128 is a gapful number since it is divisible by the number (88) 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 8274273128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556593760).

8274273128 is an abundant number, since it is smaller than the sum of its proper divisors (8838914392).

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

8274273128 is a wasteful number, since it uses less digits than its factorization.

8274273128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2014 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 8274273128 is about 90963.0316557226. The cubic root of 8274273128 is about 2022.5997575783.

The spelling of 8274273128 in words is "eight billion, two hundred seventy-four million, two hundred seventy-three thousand, one hundred twenty-eight".