41628 has 12 divisors (see below), whose sum is σ = 97160. Its totient is φ = 13872.

The previous prime is 41627. The next prime is 41641. The reversal of 41628 is 82614.

41628 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41621) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 1723 + ... + 1746.

2⁴¹⁶²⁸ is an apocalyptic number.

It is an amenable number.

41628 is an abundant number, since it is smaller than the sum of its proper divisors (55532).

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 (48580).

41628 is a wasteful number, since it uses less digits than its factorization.

41628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3474 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 41628 is about 204.0294096448. The cubic root of 41628 is about 34.6573364108.

It can be divided in two parts, 416 and 28, that added together give a palindrome (444).

The spelling of 41628 in words is "forty-one thousand, six hundred twenty-eight".