288279972882 has 48 divisors (see below), whose sum is σ = 681424761888. Its totient is φ = 87352986240.

The previous prime is 288279972839. The next prime is 288279972887.

288279972882 is a `hidden beast` number, since 288 + 279 + 9 + 72 + 8 + 8 + 2 = 666.

288279972882 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 288279972882.

It is not an unprimeable number, because it can be changed into a prime (288279972887) 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 23 ways as a sum of consecutive naturals, for example, 7289053 + ... + 7328495.

It is an arithmetic number, because the mean of its divisors is an integer number (14196349206).

Almost surely, 2^288279972882 is an apocalyptic number.

288279972882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288279972882 is an abundant number, since it is smaller than the sum of its proper divisors (393144789006).

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

288279972882 is a wasteful number, since it uses less digits than its factorization.

288279972882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76375 (or 76372 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 288279972882 in words is "two hundred eighty-eight billion, two hundred seventy-nine million, nine hundred seventy-two thousand, eight hundred eighty-two".