8213488128 has 200 divisors, whose sum is σ = 24860082588. Its totient is φ = 2699329536.

The previous prime is 8213488081. The next prime is 8213488147. The reversal of 8213488128 is 8218843128.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7144982784 + 1068505344 = 84528^2 + 32688^2 .

It is a super-2 number, since 2×8213488128² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3026100 + ... + 3028812.

Almost surely, 2^8213488128 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 8213488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430041294).

8213488128 is an abundant number, since it is smaller than the sum of its proper divisors (16646594460).

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

8213488128 is an equidigital number, since it uses as much as digits as its factorization.

8213488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2791 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 8213488128 is about 90628.2965083202. The cubic root of 8213488128 is about 2017.6347284994.

The spelling of 8213488128 in words is "eight billion, two hundred thirteen million, four hundred eighty-eight thousand, one hundred twenty-eight".