41728320 has 84 divisors (see below), whose sum is σ = 143537940. Its totient is φ = 11126784.

The previous prime is 41728289. The next prime is 41728321. The reversal of 41728320 is 2382714.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 31539456 = 3192^2 + 5616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41728321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4365 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (1708785).

Almost surely, 2^41728320 is an apocalyptic number.

41728320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41728320 is an abundant number, since it is smaller than the sum of its proper divisors (101809620).

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

41728320 is a wasteful number, since it uses less digits than its factorization.

41728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14512 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41728320 is about 6459.7461250424. The cubic root of 41728320 is about 346.8515450418.

The spelling of 41728320 in words is "forty-one million, seven hundred twenty-eight thousand, three hundred twenty".