288000882 has 48 divisors (see below), whose sum is σ = 674757720. Its totient is φ = 88252416.

The previous prime is 288000877. The next prime is 288000883.

288000882 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 217592001 + 70408881 = 14751^2 + 8391^2 .

It is not an unprimeable number, because it can be changed into a prime (288000883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57744 + ... + 62532.

Almost surely, 2^288000882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288000882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337378860).

288000882 is an abundant number, since it is smaller than the sum of its proper divisors (386756838).

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

288000882 is a wasteful number, since it uses less digits than its factorization.

288000882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 288000882 is about 16970.5887346315. The cubic root of 288000882 is about 660.3861239217.

It can be divided in two parts, 288000 and 882, that added together give a palindrome (288882).

The spelling of 288000882 in words is "two hundred eighty-eight million, eight hundred eighty-two", and thus it is an aban number.