41529628 has 48 divisors (see below), whose sum is σ = 88220160. Its totient is φ = 16720704.

The previous prime is 41529617. The next prime is 41529641. The reversal of 41529628 is 82692514.

41529628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 37450 + ... + 38542.

It is an arithmetic number, because the mean of its divisors is an integer number (1837920).

Almost surely, 2^41529628 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 41529628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44110080).

41529628 is an abundant number, since it is smaller than the sum of its proper divisors (46690532).

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

41529628 is a wasteful number, since it uses less digits than its factorization.

41529628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 41529628 is about 6444.3485318533. The cubic root of 41529628 is about 346.3001505207.

It can be divided in two parts, 4152962 and 8, that multiplied together give a square (33223696 = 5764²).

The spelling of 41529628 in words is "forty-one million, five hundred twenty-nine thousand, six hundred twenty-eight".