41626728 has 144 divisors (see below), whose sum is σ = 133604640. Its totient is φ = 11606400.

The previous prime is 41626723. The next prime is 41626733. The reversal of 41626728 is 82762614.

41626728 is a `hidden beast` number, since 4 + 1 + 626 + 7 + 28 = 666.

41626728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41626723) and next prime (41626733).

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 = 41626692 and 41626701.

It is not an unprimeable number, because it can be changed into a prime (41626721) 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 35 ways as a sum of consecutive naturals, for example, 133693 + ... + 134003.

It is an arithmetic number, because the mean of its divisors is an integer number (927810).

Almost surely, 2^41626728 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 41626728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66802320).

41626728 is an abundant number, since it is smaller than the sum of its proper divisors (91977912).

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

41626728 is a wasteful number, since it uses less digits than its factorization.

41626728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 41626728 is about 6451.8778661720. The cubic root of 41626728 is about 346.5698340659.

The spelling of 41626728 in words is "forty-one million, six hundred twenty-six thousand, seven hundred twenty-eight".