288920 has 32 divisors (see below), whose sum is σ = 673920. Its totient is φ = 111360.

The previous prime is 288913. The next prime is 288929. The reversal of 288920 is 29882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288929) by changing a digit.

288920 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, 1124 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2²⁸⁸⁹²⁰ is an apocalyptic number.

288920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

288920 is an abundant number, since it is smaller than the sum of its proper divisors (385000).

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

288920 is a wasteful number, since it uses less digits than its factorization.

288920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

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

The square root of 288920 is about 537.5127905455. The cubic root of 288920 is about 66.1087890550.

The spelling of 288920 in words is "two hundred eighty-eight thousand, nine hundred twenty".