8229817728 has 160 divisors (see below), whose sum is σ = 26718702120. Its totient is φ = 2493849600.

The previous prime is 8229817727. The next prime is 8229817747. The reversal of 8229817728 is 8277189228.

It is a super-2 number, since 2×8229817728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8229817723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77968 + ... + 150128.

Almost surely, 2^8229817728 is an apocalyptic number.

8229817728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8229817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359351060).

8229817728 is an abundant number, since it is smaller than the sum of its proper divisors (18488884392).

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

8229817728 is a wasteful number, since it uses less digits than its factorization.

8229817728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72198 (or 72177 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 8229817728 is about 90718.3428420074. The cubic root of 8229817728 is about 2018.9709597107.

The spelling of 8229817728 in words is "eight billion, two hundred twenty-nine million, eight hundred seventeen thousand, seven hundred twenty-eight".