41648128 has 64 divisors (see below), whose sum is σ = 88079040. Its totient is φ = 19660800.

The previous prime is 41648119. The next prime is 41648143. The reversal of 41648128 is 82184614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41648093 and 41648102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1015788 + ... + 1015828.

It is an arithmetic number, because the mean of its divisors is an integer number (1376235).

Almost surely, 2^41648128 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 41648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039520).

41648128 is an abundant number, since it is smaller than the sum of its proper divisors (46430912).

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

41648128 is an frugal number, since it uses more digits than its factorization.

41648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 41648128 is about 6453.5360849692. The cubic root of 41648128 is about 346.6292135738.

The spelling of 41648128 in words is "forty-one million, six hundred forty-eight thousand, one hundred twenty-eight".