41006928 has 80 divisors (see below), whose sum is σ = 111153600. Its totient is φ = 13009920.

The previous prime is 41006923. The next prime is 41006963. The reversal of 41006928 is 82960014.

41006928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41006895 and 41006904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41006923) 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 15 ways as a sum of consecutive naturals, for example, 123723 + ... + 124053.

It is an arithmetic number, because the mean of its divisors is an integer number (1389420).

Almost surely, 2^41006928 is an apocalyptic number.

41006928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41006928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576800).

41006928 is an abundant number, since it is smaller than the sum of its proper divisors (70146672).

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

41006928 is a wasteful number, since it uses less digits than its factorization.

41006928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 41006928 is about 6403.6652004926. The cubic root of 41006928 is about 344.8411450981.

The spelling of 41006928 in words is "forty-one million, six thousand, nine hundred twenty-eight".