288423324882 has 192 divisors, whose sum is σ = 831125299200. Its totient is φ = 72498175200.

The previous prime is 288423324853. The next prime is 288423324887.

288423324882 is a `hidden beast` number, since 288 + 42 + 3 + 3 + 248 + 82 = 666.

288423324882 is nontrivially palindromic in base 10.

288423324882 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (288423324887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1316169 + ... + 1519587.

It is an arithmetic number, because the mean of its divisors is an integer number (4328777600).

Almost surely, 2^288423324882 is an apocalyptic number.

288423324882 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 288423324882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415562649600).

288423324882 is an abundant number, since it is smaller than the sum of its proper divisors (542701974318).

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

288423324882 is a wasteful number, since it uses less digits than its factorization.

288423324882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203490 (or 203473 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 288423324882 in words is "two hundred eighty-eight billion, four hundred twenty-three million, three hundred twenty-four thousand, eight hundred eighty-two".