288832 has 14 divisors (see below), whose sum is σ = 573278. Its totient is φ = 144384.

The previous prime is 288823. The next prime is 288833. The reversal of 288832 is 238882.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 141376 = 384^2 + 376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288794 and 288803.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2193 + ... + 2320.

2²⁸⁸⁸³² is an apocalyptic number.

It is an amenable number.

288832 is a deficient number, since it is larger than the sum of its proper divisors (284446).

288832 is an equidigital number, since it uses as much as digits as its factorization.

288832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4515 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 288832 is about 537.4309257942. The cubic root of 288832 is about 66.1020765115.

It can be divided in two parts, 2888 and 32, that multiplied together give a square (92416 = 304²).

The spelling of 288832 in words is "two hundred eighty-eight thousand, eight hundred thirty-two".