41301728 has 48 divisors (see below), whose sum is σ = 88524576. Its totient is φ = 18854400.

The previous prime is 41301691. The next prime is 41301737. The reversal of 41301728 is 82710314.

41301728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 41301697 and 41301706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41525 + ... + 42507.

It is an arithmetic number, because the mean of its divisors is an integer number (1844262).

Almost surely, 2^41301728 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 41301728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44262288).

41301728 is an abundant number, since it is smaller than the sum of its proper divisors (47222848).

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

41301728 is a wasteful number, since it uses less digits than its factorization.

41301728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 41301728 is about 6426.6420469791. The cubic root of 41301728 is about 345.6655304121.

The spelling of 41301728 in words is "forty-one million, three hundred one thousand, seven hundred twenty-eight".