8210220128 has 48 divisors (see below), whose sum is σ = 17650301760. Its totient is φ = 3728323200.

The previous prime is 8210220101. The next prime is 8210220157.

8210220128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8210220097 and 8210220106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373343 + ... + 394721.

It is an arithmetic number, because the mean of its divisors is an integer number (367714620).

Almost surely, 2^8210220128 is an apocalyptic number.

8210220128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8210220128 is an abundant number, since it is smaller than the sum of its proper divisors (9440081632).

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

8210220128 is a wasteful number, since it uses less digits than its factorization.

8210220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22491 (or 22483 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8210220128 is about 90610.2650255477. The cubic root of 8210220128 is about 2017.3670994125.

The spelling of 8210220128 in words is "eight billion, two hundred ten million, two hundred twenty thousand, one hundred twenty-eight".