288828882 has 48 divisors (see below), whose sum is σ = 659826720. Its totient is φ = 93650256.

The previous prime is 288828877. The next prime is 288828889.

288828882 is a `hidden beast` number, since 288 + 8 + 288 + 82 = 666.

288828882 is nontrivially palindromic in base 10.

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 (288828889) 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, 71973 + ... + 75879.

It is an arithmetic number, because the mean of its divisors is an integer number (13746390).

Almost surely, 2^288828882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288828882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329913360).

288828882 is an abundant number, since it is smaller than the sum of its proper divisors (370997838).

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

288828882 is a wasteful number, since it uses less digits than its factorization.

288828882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3949 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 54.

The square root of 288828882 is about 16994.9663724292. The cubic root of 288828882 is about 661.0183864891.

The spelling of 288828882 in words is "two hundred eighty-eight million, eight hundred twenty-eight thousand, eight hundred eighty-two".