41291328 has 112 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 12472320.

The previous prime is 41291311. The next prime is 41291339. The reversal of 41291328 is 82319214.

41291328 is a nontrivial binomial coefficient, being equal to C(9088, 2).

It is a junction number, because it is equal to n+sod(n) for n = 41291295 and 41291304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177100 + ... + 177332.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 2^41291328 is an apocalyptic number.

41291328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

41291328 is the 9087-th triangular number and also the 4544-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

41291328 is an abundant number, since it is smaller than the sum of its proper divisors (78531648).

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

41291328 is a wasteful number, since it uses less digits than its factorization.

41291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 41291328 is about 6425.8328643064. The cubic root of 41291328 is about 345.6365144890.

The spelling of 41291328 in words is "forty-one million, two hundred ninety-one thousand, three hundred twenty-eight".