288963369882 has 96 divisors (see below), whose sum is σ = 699040502784. Its totient is φ = 85516778400.

The previous prime is 288963369853. The next prime is 288963369883.

288963369882 is a `hidden beast` number, since 288 + 9 + 6 + 336 + 9 + 8 + 8 + 2 = 666.

288963369882 is nontrivially palindromic in base 10.

288963369882 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 288963369882.

It is not an unprimeable number, because it can be changed into a prime (288963369883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4312657 + ... + 4379147.

It is an arithmetic number, because the mean of its divisors is an integer number (7281671904).

Almost surely, 2^288963369882 is an apocalyptic number.

288963369882 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 288963369882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349520251392).

288963369882 is an abundant number, since it is smaller than the sum of its proper divisors (410077132902).

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

288963369882 is a wasteful number, since it uses less digits than its factorization.

288963369882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67024 (or 67021 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 288963369882 in words is "two hundred eighty-eight billion, nine hundred sixty-three million, three hundred sixty-nine thousand, eight hundred eighty-two".