288820 has 24 divisors (see below), whose sum is σ = 693504. Its totient is φ = 98976.

The previous prime is 288817. The next prime is 288823. The reversal of 288820 is 28882.

It is an interprime number because it is at equal distance from previous prime (288817) and next prime (288823).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288823) by changing a digit.

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, 892 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (28896).

2²⁸⁸⁸²⁰ is an apocalyptic number.

288820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288820 is an abundant number, since it is smaller than the sum of its proper divisors (404684).

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

288820 is a wasteful number, since it uses less digits than its factorization.

288820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 288820 is about 537.4197614528. The cubic root of 288820 is about 66.1011610591.

The spelling of 288820 in words is "two hundred eighty-eight thousand, eight hundred twenty".