288838 has 16 divisors (see below), whose sum is σ = 498240. Its totient is φ = 124200.

The previous prime is 288833. The next prime is 288839. The reversal of 288838 is 838882.

288838 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 288797 and 288806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288833) by changing a digit.

288838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (31140).

2²⁸⁸⁸³⁸ is an apocalyptic number.

288838 is a deficient number, since it is larger than the sum of its proper divisors (209402).

288838 is a wasteful number, since it uses less digits than its factorization.

288838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its digits is 24576, while the sum is 37.

The square root of 288838 is about 537.4365078779. The cubic root of 288838 is about 66.1025342283.

It can be divided in two parts, 2888 and 38, that added together give a triangular number (2926 = T₇₆).

The spelling of 288838 in words is "two hundred eighty-eight thousand, eight hundred thirty-eight".