8211441128 has 32 divisors (see below), whose sum is σ = 17680140000. Its totient is φ = 3536026560.

The previous prime is 8211441113. The next prime is 8211441131.

8211441128 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 8211441094 and 8211441103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2453903 + ... + 2457246.

It is an arithmetic number, because the mean of its divisors is an integer number (552504375).

Almost surely, 2^8211441128 is an apocalyptic number.

8211441128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8211441128 is an abundant number, since it is smaller than the sum of its proper divisors (9468698872).

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

8211441128 is a wasteful number, since it uses less digits than its factorization.

8211441128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911185 (or 4911181 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 8211441128 is about 90617.0024222828. The cubic root of 8211441128 is about 2017.4671001065.

The spelling of 8211441128 in words is "eight billion, two hundred eleven million, four hundred forty-one thousand, one hundred twenty-eight".