40288 has 12 divisors (see below), whose sum is σ = 79380. Its totient is φ = 20128.

The previous prime is 40283. The next prime is 40289. The reversal of 40288 is 88204.

40288 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40283) by changing a digit.

40288 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 598 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁴⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

40288 is a deficient number, since it is larger than the sum of its proper divisors (39092).

40288 is a wasteful number, since it uses less digits than its factorization.

40288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 40288 is about 200.7187086447. The cubic root of 40288 is about 34.2814015739.

The spelling of 40288 in words is "forty thousand, two hundred eighty-eight".