8029229208 has 384 divisors, whose sum is σ = 27726520320. Its totient is φ = 1880686080.

The previous prime is 8029229207. The next prime is 8029229213.

8029229208 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8029229208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8029229207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14678391 + ... + 14678937.

It is an arithmetic number, because the mean of its divisors is an integer number (72204480).

Almost surely, 2^8029229208 is an apocalyptic number.

8029229208 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 8029229208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863260160).

8029229208 is an abundant number, since it is smaller than the sum of its proper divisors (19697291112).

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

8029229208 is a wasteful number, since it uses less digits than its factorization.

8029229208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8029229208 is about 89605.9663638532. The cubic root of 8029229208 is about 2002.4328068588.

The spelling of 8029229208 in words is "eight billion, twenty-nine million, two hundred twenty-nine thousand, two hundred eight".