41785728 has 128 divisors (see below), whose sum is σ = 121396320. Its totient is φ = 12681216.

The previous prime is 41785721. The next prime is 41785729. The reversal of 41785728 is 82758714.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 41785728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41785721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241450 + ... + 241622.

Almost surely, 2^41785728 is an apocalyptic number.

41785728 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 41785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60698160).

41785728 is an abundant number, since it is smaller than the sum of its proper divisors (79610592).

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

41785728 is a wasteful number, since it uses less digits than its factorization.

41785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 41785728 is about 6464.1881160746. The cubic root of 41785728 is about 347.0105332229.

The spelling of 41785728 in words is "forty-one million, seven hundred eighty-five thousand, seven hundred twenty-eight".