41084928 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 13676544.

The previous prime is 41084899. The next prime is 41084933. The reversal of 41084928 is 82948014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41084892 and 41084901.

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, 54925 + ... + 55667.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^41084928 is an apocalyptic number.

41084928 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 41084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

41084928 is an abundant number, since it is smaller than the sum of its proper divisors (80782272).

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

41084928 is an equidigital number, since it uses as much as digits as its factorization.

41084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 41084928 is about 6409.7525693275. The cubic root of 41084928 is about 345.0596494216.

The spelling of 41084928 in words is "forty-one million, eighty-four thousand, nine hundred twenty-eight".