288029 has 8 divisors (see below), whose sum is σ = 343680. Its totient is φ = 236016.

The previous prime is 288023. The next prime is 288049. The reversal of 288029 is 920882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288029 - 2¹⁶ = 222493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 287992 and 288010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288029.

It is not an unprimeable number, because it can be changed into a prime (288023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (42960).

2²⁸⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

288029 is a deficient number, since it is larger than the sum of its proper divisors (55651).

288029 is a wasteful number, since it uses less digits than its factorization.

288029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 288029 is about 536.6833330745. The cubic root of 288029 is about 66.0407614750.

The spelling of 288029 in words is "two hundred eighty-eight thousand, twenty-nine".