41728416 has 48 divisors (see below), whose sum is σ = 110877984. Its totient is φ = 13739264.

The previous prime is 41728411. The next prime is 41728439. The reversal of 41728416 is 61482714.

41728416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41728411) by changing a digit.

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, 5350 + ... + 10586.

It is an arithmetic number, because the mean of its divisors is an integer number (2309958).

Almost surely, 2^41728416 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 41728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55438992).

41728416 is an abundant number, since it is smaller than the sum of its proper divisors (69149568).

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

41728416 is a wasteful number, since it uses less digits than its factorization.

41728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5325 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 41728416 is about 6459.7535556707. The cubic root of 41728416 is about 346.8518110300.

The spelling of 41728416 in words is "forty-one million, seven hundred twenty-eight thousand, four hundred sixteen".