288830 has 16 divisors (see below), whose sum is σ = 550800. Its totient is φ = 108672.

The previous prime is 288823. The next prime is 288833. The reversal of 288830 is 38882.

288830 is nontrivially palindromic in base 15.

288830 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 = 288793 and 288802.

It is a congruent number.

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

288830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2²⁸⁸⁸³⁰ is an apocalyptic number.

288830 is a deficient number, since it is larger than the sum of its proper divisors (261970).

288830 is a wasteful number, since it uses less digits than its factorization.

288830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 288830 is about 537.4290650867. The cubic root of 288830 is about 66.1019239379.

The spelling of 288830 in words is "two hundred eighty-eight thousand, eight hundred thirty".