41265828 has 48 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 13672800.

The previous prime is 41265821. The next prime is 41265871. The reversal of 41265828 is 82856214.

41265828 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 41265792 and 41265801.

It is not an unprimeable number, because it can be changed into a prime (41265821) 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, 18493 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2^41265828 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 41265828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

41265828 is an abundant number, since it is smaller than the sum of its proper divisors (66361692).

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

41265828 is a wasteful number, since it uses less digits than its factorization.

41265828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2297 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 41265828 is about 6423.8483792817. The cubic root of 41265828 is about 345.5653490529.

It can be divided in two parts, 412658 and 28, that added together give a triangular number (412686 = T₉₀₈).

The spelling of 41265828 in words is "forty-one million, two hundred sixty-five thousand, eight hundred twenty-eight".