41728 has 18 divisors (see below), whose sum is σ = 83804. Its totient is φ = 20736.

The previous prime is 41719. The next prime is 41729. The reversal of 41728 is 82714.

It is a cake number, because a cake can be divided into 41728 parts by 63 planar cuts.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 41699 and 41708.

It is not an unprimeable number, because it can be changed into a prime (41729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 175 + ... + 337.

2⁴¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41902).

41728 is an abundant number, since it is smaller than the sum of its proper divisors (42076).

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

41728 is an equidigital number, since it uses as much as digits as its factorization.

41728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 41728 is about 204.2743253569. The cubic root of 41728 is about 34.6850658411.

The spelling of 41728 in words is "forty-one thousand, seven hundred twenty-eight".