41005728 has 36 divisors (see below), whose sum is σ = 116610858. Its totient is φ = 13668480.

The previous prime is 41005721. The next prime is 41005759. The reversal of 41005728 is 82750014.

It can be written as a sum of positive squares in only one way, i.e., 34715664 + 6290064 = 5892^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (41005721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70903 + ... + 71478.

Almost surely, 2^41005728 is an apocalyptic number.

41005728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41005728 is an abundant number, since it is smaller than the sum of its proper divisors (75605130).

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

41005728 is a wasteful number, since it uses less digits than its factorization.

41005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142397 (or 142386 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 41005728 is about 6403.5715034659. The cubic root of 41005728 is about 344.8377813298.

The spelling of 41005728 in words is "forty-one million, five thousand, seven hundred twenty-eight".