41187328 has 144 divisors (see below), whose sum is σ = 107911440. Its totient is φ = 15335424.

The previous prime is 41187301. The next prime is 41187347. The reversal of 41187328 is 82378114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 41187293 and 41187302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422776 + ... + 2422792.

It is an arithmetic number, because the mean of its divisors is an integer number (749385).

Almost surely, 2^41187328 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 41187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955720).

41187328 is an abundant number, since it is smaller than the sum of its proper divisors (66724112).

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

41187328 is a wasteful number, since it uses less digits than its factorization.

41187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 41187328 is about 6417.7354261453. The cubic root of 41187328 is about 345.3460869291.

The spelling of 41187328 in words is "forty-one million, one hundred eighty-seven thousand, three hundred twenty-eight".