41041728 has 336 divisors, whose sum is σ = 155326080. Its totient is φ = 10450944.

The previous prime is 41041717. The next prime is 41041733. The reversal of 41041728 is 82714014.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415218 + ... + 1415246.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 2^41041728 is an apocalyptic number.

41041728 is a gapful number since it is divisible by the number (48) 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 41041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

41041728 is an abundant number, since it is smaller than the sum of its proper divisors (114284352).

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

41041728 is a wasteful number, since it uses less digits than its factorization.

41041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 41041728 is about 6406.3818181560. The cubic root of 41041728 is about 344.9386658452.

It can be divided in two parts, 4104 and 1728, that added together give a cube (5832 = 18³).

The spelling of 41041728 in words is "forty-one million, forty-one thousand, seven hundred twenty-eight".