8209810128 has 80 divisors (see below), whose sum is σ = 22881660480. Its totient is φ = 2521500672.

The previous prime is 8209810123. The next prime is 8209810151. The reversal of 8209810128 is 8210189028.

It is a super-4 number, since 4×8209810128⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8209810123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 339628 + ... + 362996.

It is an arithmetic number, because the mean of its divisors is an integer number (286020756).

Almost surely, 2^8209810128 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 8209810128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11440830240).

8209810128 is an abundant number, since it is smaller than the sum of its proper divisors (14671850352).

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

8209810128 is a wasteful number, since it uses less digits than its factorization.

8209810128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23956 (or 23950 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 8209810128 is about 90608.0025604803. The cubic root of 8209810128 is about 2017.3335179224. Note that the first 3 decimals are identical.

The spelling of 8209810128 in words is "eight billion, two hundred nine million, eight hundred ten thousand, one hundred twenty-eight".