41824728 has 128 divisors (see below), whose sum is σ = 131328000. Its totient is φ = 12216960.

The previous prime is 41824723. The next prime is 41824729. The reversal of 41824728 is 82742814.

41824728 is a `hidden beast` number, since 4 + 182 + 472 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41824692 and 41824701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41824723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68601 + ... + 69207.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 2^41824728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41824728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664000).

41824728 is an abundant number, since it is smaller than the sum of its proper divisors (89503272).

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

41824728 is a wasteful number, since it uses less digits than its factorization.

41824728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 41824728 is about 6467.2040326558. The cubic root of 41824728 is about 347.1184584502.

The spelling of 41824728 in words is "forty-one million, eight hundred twenty-four thousand, seven hundred twenty-eight".