8029872288 has 144 divisors (see below), whose sum is σ = 23472408960. Its totient is φ = 2602478592.

The previous prime is 8029872233. The next prime is 8029872289. The reversal of 8029872288 is 8822789208.

8029872288 is a `hidden beast` number, since 8 + 0 + 298 + 72 + 288 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8029872289) 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, 2958420 + ... + 2961132.

It is an arithmetic number, because the mean of its divisors is an integer number (163002840).

Almost surely, 2^8029872288 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 8029872288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736204480).

8029872288 is an abundant number, since it is smaller than the sum of its proper divisors (15442536672).

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

8029872288 is a wasteful number, since it uses less digits than its factorization.

8029872288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8029872288 is about 89609.5546691311. The cubic root of 8029872288 is about 2002.4862652950.

The spelling of 8029872288 in words is "eight billion, twenty-nine million, eight hundred seventy-two thousand, two hundred eighty-eight".