41545728 has 234 divisors, whose sum is σ = 145668744. Its totient is φ = 11354112.

The previous prime is 41545717. The next prime is 41545753. The reversal of 41545728 is 82754514.

41545728 is a `hidden beast` number, since 41 + 545 + 72 + 8 = 666.

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

Its product of digits (44800) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 41545692 and 41545701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806325 + ... + 1806347.

It is an arithmetic number, because the mean of its divisors is an integer number (622516).

Almost surely, 2^41545728 is an apocalyptic number.

41545728 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 41545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72834372).

41545728 is an abundant number, since it is smaller than the sum of its proper divisors (104123016).

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

41545728 is a wasteful number, since it uses less digits than its factorization.

41545728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 41545728 is about 6445.5975673323. The cubic root of 41545728 is about 346.3448953800.

The spelling of 41545728 in words is "forty-one million, five hundred forty-five thousand, seven hundred twenty-eight".