41738928 has 160 divisors (see below), whose sum is σ = 140562432. Its totient is φ = 10348800.

The previous prime is 41738911. The next prime is 41738929. The reversal of 41738928 is 82983714.

41738928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41738928² = 3484276221178368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 41738928.

It is not an unprimeable number, because it can be changed into a prime (41738929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84763 + ... + 85253.

Almost surely, 2^41738928 is an apocalyptic number.

41738928 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 41738928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70281216).

41738928 is an abundant number, since it is smaller than the sum of its proper divisors (98823504).

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

41738928 is a wasteful number, since it uses less digits than its factorization.

41738928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 41738928 is about 6460.5671577656. The cubic root of 41738928 is about 346.8809342707.

The spelling of 41738928 in words is "forty-one million, seven hundred thirty-eight thousand, nine hundred twenty-eight".