41834628 has 72 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 12524160.

The previous prime is 41834623. The next prime is 41834647. The reversal of 41834628 is 82643814.

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 = 41834592 and 41834601.

It is not an unprimeable number, because it can be changed into a prime (41834623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34651 + ... + 35837.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^41834628 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 41834628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

41834628 is an abundant number, since it is smaller than the sum of its proper divisors (74922012).

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

41834628 is a wasteful number, since it uses less digits than its factorization.

41834628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1292 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41834628 is about 6467.9693876827. The cubic root of 41834628 is about 347.1458441763.

The spelling of 41834628 in words is "forty-one million, eight hundred thirty-four thousand, six hundred twenty-eight".