41948928 has 270 divisors, whose sum is σ = 151856936. Its totient is φ = 11280384.

The previous prime is 41948923. The next prime is 41948953. The reversal of 41948928 is 82984914.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41948923) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2467576 + ... + 2467592.

Almost surely, 2^41948928 is an apocalyptic number.

41948928 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 41948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75928468).

41948928 is an abundant number, since it is smaller than the sum of its proper divisors (109908008).

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

41948928 is an equidigital number, since it uses as much as digits as its factorization.

41948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 41948928 is about 6476.7992094861. The cubic root of 41948928 is about 347.4617123939.

The spelling of 41948928 in words is "forty-one million, nine hundred forty-eight thousand, nine hundred twenty-eight".