41728000 has 96 divisors (see below), whose sum is σ = 104766480. Its totient is φ = 16588800.

The previous prime is 41727991. The next prime is 41728007. The reversal of 41728000 is 82714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41728007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255919 + ... + 256081.

Almost surely, 2^41728000 is an apocalyptic number.

41728000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52383240).

41728000 is an abundant number, since it is smaller than the sum of its proper divisors (63038480).

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

41728000 is an equidigital number, since it uses as much as digits as its factorization.

41728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 41728000 is about 6459.7213562196. The cubic root of 41728000 is about 346.8506584115.

The spelling of 41728000 in words is "forty-one million, seven hundred twenty-eight thousand".