8221858128 has 160 divisors (see below), whose sum is σ = 26012085120. Its totient is φ = 2465648640.

The previous prime is 8221858123. The next prime is 8221858133. The reversal of 8221858128 is 8218581228.

It is an interprime number because it is at equal distance from previous prime (8221858123) and next prime (8221858133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221858123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452026 + ... + 469862.

It is an arithmetic number, because the mean of its divisors is an integer number (162575532).

Almost surely, 2^8221858128 is an apocalyptic number.

8221858128 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 8221858128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006042560).

8221858128 is an abundant number, since it is smaller than the sum of its proper divisors (17790226992).

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

8221858128 is a wasteful number, since it uses less digits than its factorization.

8221858128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962 (or 17950 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The square root of 8221858128 is about 90674.4623805402. The cubic root of 8221858128 is about 2018.3198563927.

The spelling of 8221858128 in words is "eight billion, two hundred twenty-one million, eight hundred fifty-eight thousand, one hundred twenty-eight".