84288 has 28 divisors (see below), whose sum is σ = 223520. Its totient is φ = 28032.

The previous prime is 84263. The next prime is 84299. The reversal of 84288 is 88248.

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

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84288.

It is an unprimeable number.

84288 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 411.

2⁸⁴²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111760).

84288 is an abundant number, since it is smaller than the sum of its proper divisors (139232).

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

84288 is a wasteful number, since it uses less digits than its factorization.

84288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 84288 is about 290.3239569860. The cubic root of 84288 is about 43.8451859530.

The spelling of 84288 in words is "eighty-four thousand, two hundred eighty-eight".