8129281824 has 120 divisors (see below), whose sum is σ = 23935000320. Its totient is φ = 2706701184.

The previous prime is 8129281819. The next prime is 8129281829. The reversal of 8129281824 is 4281829218.

It is an interprime number because it is at equal distance from previous prime (8129281819) and next prime (8129281829).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8129281824.

It is not an unprimeable number, because it can be changed into a prime (8129281829) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4558437 + ... + 4560219.

It is an arithmetic number, because the mean of its divisors is an integer number (199458336).

Almost surely, 2^8129281824 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 8129281824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967500160).

8129281824 is an abundant number, since it is smaller than the sum of its proper divisors (15805718496).

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

8129281824 is a wasteful number, since it uses less digits than its factorization.

8129281824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3547 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 8129281824 is about 90162.5300443593. The cubic root of 8129281824 is about 2010.7159668163.

The spelling of 8129281824 in words is "eight billion, one hundred twenty-nine million, two hundred eighty-one thousand, eight hundred twenty-four".