8342856288 has 144 divisors (see below), whose sum is σ = 25584957216. Its totient is φ = 2563522560.

The previous prime is 8342856287. The next prime is 8342856289. The reversal of 8342856288 is 8826582438.

8342856288 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 8 + 5 + 628 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8342856287) and next prime (8342856289).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8342856288² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342856287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4555533 + ... + 4557363.

It is an arithmetic number, because the mean of its divisors is an integer number (177673314).

Almost surely, 2^8342856288 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 8342856288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792478608).

8342856288 is an abundant number, since it is smaller than the sum of its proper divisors (17242100928).

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

8342856288 is a wasteful number, since it uses less digits than its factorization.

8342856288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3066 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The square root of 8342856288 is about 91339.2373955465. The cubic root of 8342856288 is about 2028.1726449897.

The spelling of 8342856288 in words is "eight billion, three hundred forty-two million, eight hundred fifty-six thousand, two hundred eighty-eight".