40828 has 12 divisors (see below), whose sum is σ = 73080. Its totient is φ = 19952.

The previous prime is 40823. The next prime is 40829. The reversal of 40828 is 82804.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 40799 and 40808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40823) by changing a digit.

40828 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (6090).

2⁴⁰⁸²⁸ is an apocalyptic number.

It is an amenable number.

40828 is a deficient number, since it is larger than the sum of its proper divisors (32252).

40828 is a wasteful number, since it uses less digits than its factorization.

40828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

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

The square root of 40828 is about 202.0593972079. The cubic root of 40828 is about 34.4338858453.

It can be divided in two parts, 40 and 828, that added together give a palindrome (868).

The spelling of 40828 in words is "forty thousand, eight hundred twenty-eight".