40628 has 12 divisors (see below), whose sum is σ = 81312. Its totient is φ = 17400.

The previous prime is 40627. The next prime is 40637. The reversal of 40628 is 82604.

40628 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40627) 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, 698 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (6776).

2⁴⁰⁶²⁸ is an apocalyptic number.

It is an amenable number.

40628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (40656).

40628 is a wasteful number, since it uses less digits than its factorization.

40628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 40628 is about 201.5638856542. The cubic root of 40628 is about 34.3775678523.

It can be divided in two parts, 406 and 28, that added together give a palindrome (434).

The spelling of 40628 in words is "forty thousand, six hundred twenty-eight".