288848 has 20 divisors (see below), whose sum is σ = 639840. Its totient is φ = 123744.

The previous prime is 288839. The next prime is 288851. The reversal of 288848 is 848882.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

288848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1178 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (31992).

2²⁸⁸⁸⁴⁸ is an apocalyptic number.

288848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

288848 is an abundant number, since it is smaller than the sum of its proper divisors (350992).

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

288848 is a wasteful number, since it uses less digits than its factorization.

288848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2588 counting only the distinct ones).

The product of its digits is 32768, while the sum is 38.

The square root of 288848 is about 537.4458112219. The cubic root of 288848 is about 66.1032970754.

The spelling of 288848 in words is "two hundred eighty-eight thousand, eight hundred forty-eight".