8228173824 has 288 divisors, whose sum is σ = 26723118240. Its totient is φ = 2420047872.

The previous prime is 8228173813. The next prime is 8228173861. The reversal of 8228173824 is 4283718228.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 8228173824.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5510422 + ... + 5511914.

It is an arithmetic number, because the mean of its divisors is an integer number (92788605).

Almost surely, 2^8228173824 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 8228173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361559120).

8228173824 is an abundant number, since it is smaller than the sum of its proper divisors (18494944416).

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

8228173824 is a wasteful number, since it uses less digits than its factorization.

8228173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1534 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 8228173824 is about 90709.2819065392. The cubic root of 8228173824 is about 2018.8365211136.

The spelling of 8228173824 in words is "eight billion, two hundred twenty-eight million, one hundred seventy-three thousand, eight hundred twenty-four".