41628880 has 20 divisors (see below), whose sum is σ = 96787332. Its totient is φ = 16651520.

The previous prime is 41628871. The next prime is 41628883. The reversal of 41628880 is 8882614.

41628880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14837904 + 26790976 = 3852^2 + 5176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41628883) 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 3 ways as a sum of consecutive naturals, for example, 260101 + ... + 260260.

Almost surely, 2^41628880 is an apocalyptic number.

41628880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41628880 is an abundant number, since it is smaller than the sum of its proper divisors (55158452).

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

41628880 is a wasteful number, since it uses less digits than its factorization.

41628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520374 (or 520368 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 41628880 is about 6452.0446371674. The cubic root of 41628880 is about 346.5758062338.

The spelling of 41628880 in words is "forty-one million, six hundred twenty-eight thousand, eight hundred eighty".