41933728 has 48 divisors (see below), whose sum is σ = 85839264. Its totient is φ = 20148480.

The previous prime is 41933707. The next prime is 41933737. The reversal of 41933728 is 82733914.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126523 + ... + 126853.

It is an arithmetic number, because the mean of its divisors is an integer number (1788318).

Almost surely, 2^41933728 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 41933728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42919632).

41933728 is an abundant number, since it is smaller than the sum of its proper divisors (43905536).

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

41933728 is a wasteful number, since it uses less digits than its factorization.

41933728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 41933728 is about 6475.6256840556. The cubic root of 41933728 is about 347.4197402760.

It can be divided in two parts, 4193 and 3728, that added together give a square (7921 = 89²).

The spelling of 41933728 in words is "forty-one million, nine hundred thirty-three thousand, seven hundred twenty-eight".