8235282120 has 192 divisors, whose sum is σ = 28327345920. Its totient is φ = 1907822592.

The previous prime is 8235282113. The next prime is 8235282149. The reversal of 8235282120 is 212825328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332817 + ... + 356703.

It is an arithmetic number, because the mean of its divisors is an integer number (147538260).

Almost surely, 2^8235282120 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 8235282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163672960).

8235282120 is an abundant number, since it is smaller than the sum of its proper divisors (20092063800).

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

8235282120 is a wasteful number, since it uses less digits than its factorization.

8235282120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23944 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8235282120 is about 90748.4551934632. The cubic root of 8235282120 is about 2019.4177094958.

The spelling of 8235282120 in words is "eight billion, two hundred thirty-five million, two hundred eighty-two thousand, one hundred twenty".