288444882 has 48 divisors (see below), whose sum is σ = 671430816. Its totient is φ = 82262400.

The previous prime is 288444853. The next prime is 288444883.

288444882 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (288444883) 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, 657 + ... + 24027.

It is an arithmetic number, because the mean of its divisors is an integer number (13988142).

Almost surely, 2^288444882 is an apocalyptic number.

288444882 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 288444882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335715408).

288444882 is an abundant number, since it is smaller than the sum of its proper divisors (382985934).

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

288444882 is a wasteful number, since it uses less digits than its factorization.

288444882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23415 (or 23404 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 288444882 is about 16983.6651521396. The cubic root of 288444882 is about 660.7253137282.

The spelling of 288444882 in words is "two hundred eighty-eight million, four hundred forty-four thousand, eight hundred eighty-two".