41728100 has 36 divisors (see below), whose sum is σ = 93678900. Its totient is φ = 16114560.

The previous prime is 41728091. The next prime is 41728117. The reversal of 41728100 is 182714.

41728100 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 6 ways, for example, as 2390116 + 39337984 = 1546^2 + 6272^2 .

It is a super-2 number, since 2×41728100² = 3482468659220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4295 + ... + 10094.

Almost surely, 2^41728100 is an apocalyptic number.

It is an amenable number.

41728100 is an abundant number, since it is smaller than the sum of its proper divisors (51950800).

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

41728100 is a wasteful number, since it uses less digits than its factorization.

41728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432 (or 14425 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 41728100 is about 6459.7290964869. The cubic root of 41728100 is about 346.8509354839.

The spelling of 41728100 in words is "forty-one million, seven hundred twenty-eight thousand, one hundred".