8213333128 has 64 divisors (see below), whose sum is σ = 20676942720. Its totient is φ = 2953843200.

The previous prime is 8213333101. The next prime is 8213333137.

8213333128 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8213333093 and 8213333102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504813 + ... + 520828.

It is an arithmetic number, because the mean of its divisors is an integer number (323077230).

Almost surely, 2^8213333128 is an apocalyptic number.

8213333128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8213333128 is an abundant number, since it is smaller than the sum of its proper divisors (12463609592).

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

8213333128 is a wasteful number, since it uses less digits than its factorization.

8213333128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025678 (or 1025674 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 8213333128 is about 90627.4413629779. The cubic root of 8213333128 is about 2017.6220365571.

The spelling of 8213333128 in words is "eight billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred twenty-eight".