288002 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 112320.

The previous prime is 287977. The next prime is 288007. The reversal of 288002 is 200882.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288002.

It is not an unprimeable number, because it can be changed into a prime (288007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5408 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²⁸⁸⁰⁰² is an apocalyptic number.

288002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288002 is a deficient number, since it is larger than the sum of its proper divisors (256318).

288002 is a wasteful number, since it uses less digits than its factorization.

288002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 288002 is about 536.6581779867. The cubic root of 288002 is about 66.0386978445.

Adding to 288002 its reverse (200882), we get a palindrome (488884).

It can be divided in two parts, 28800 and 2, that multiplied together give a square (57600 = 240²).

The spelling of 288002 in words is "two hundred eighty-eight thousand, two".