41332928 has 112 divisors (see below), whose sum is σ = 103778304. Its totient is φ = 15897600.

The previous prime is 41332927. The next prime is 41332939. The reversal of 41332928 is 82923314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 41332894 and 41332903.

It is not an unprimeable number, because it can be changed into a prime (41332927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273653 + ... + 273803.

It is an arithmetic number, because the mean of its divisors is an integer number (926592).

Almost surely, 2^41332928 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 41332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51889152).

41332928 is an abundant number, since it is smaller than the sum of its proper divisors (62445376).

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

41332928 is a wasteful number, since it uses less digits than its factorization.

41332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 41332928 is about 6429.0689839198. The cubic root of 41332928 is about 345.7525489668.

The spelling of 41332928 in words is "forty-one million, three hundred thirty-two thousand, nine hundred twenty-eight".