288969969882 has 128 divisors (see below), whose sum is σ = 676691159040. Its totient is φ = 81372867840.

The previous prime is 288969969853. The next prime is 288969969941.

288969969882 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 288969969795 and 288969969804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41166169 + ... + 41173187.

It is an arithmetic number, because the mean of its divisors is an integer number (5286649680).

Almost surely, 2^288969969882 is an apocalyptic number.

288969969882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288969969882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338345579520).

288969969882 is an abundant number, since it is smaller than the sum of its proper divisors (387721189158).

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

288969969882 is a wasteful number, since it uses less digits than its factorization.

288969969882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828.

The product of its digits is 3869835264, while the sum is 84.

The spelling of 288969969882 in words is "two hundred eighty-eight billion, nine hundred sixty-nine million, nine hundred sixty-nine thousand, eight hundred eighty-two".