8213773128 has 64 divisors (see below), whose sum is σ = 22410285120. Its totient is φ = 2488012800.

The previous prime is 8213773123. The next prime is 8213773151.

8213773128 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8213773128.

It is not an unprimeable number, because it can be changed into a prime (8213773121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882676 + ... + 891932.

It is an arithmetic number, because the mean of its divisors is an integer number (350160705).

Almost surely, 2^8213773128 is an apocalyptic number.

8213773128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8213773128 is an abundant number, since it is smaller than the sum of its proper divisors (14196511992).

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

8213773128 is a wasteful number, since it uses less digits than its factorization.

8213773128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12638 (or 12634 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 8213773128 is about 90629.8688512788. The cubic root of 8213773128 is about 2017.6580648796.

The spelling of 8213773128 in words is "eight billion, two hundred thirteen million, seven hundred seventy-three thousand, one hundred twenty-eight".