42288 has 20 divisors (see below), whose sum is σ = 109368. Its totient is φ = 14080.

The previous prime is 42283. The next prime is 42293. The reversal of 42288 is 88224.

It is an interprime number because it is at equal distance from previous prime (42283) and next prime (42293).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (42281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393 + ... + 488.

2⁴²²⁸⁸ is an apocalyptic number.

42288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42288 is an abundant number, since it is smaller than the sum of its proper divisors (67080).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

42288 is a wasteful number, since it uses less digits than its factorization.

42288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 42288 is about 205.6404629444. The cubic root of 42288 is about 34.8395375705.

The spelling of 42288 in words is "forty-two thousand, two hundred eighty-eight".