41986728 has 96 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 11993184.

The previous prime is 41986699. The next prime is 41986771. The reversal of 41986728 is 82768914.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601 + ... + 12567.

It is an arithmetic number, because the mean of its divisors is an integer number (1413600).

Almost surely, 2^41986728 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 41986728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

41986728 is an abundant number, since it is smaller than the sum of its proper divisors (93718872).

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

41986728 is a wasteful number, since it uses less digits than its factorization.

41986728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3979 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 41986728 is about 6479.7166604721. The cubic root of 41986728 is about 347.5660464840.

The spelling of 41986728 in words is "forty-one million, nine hundred eighty-six thousand, seven hundred twenty-eight".