41624128 has 84 divisors (see below), whose sum is σ = 103575612. Its totient is φ = 16450560.

The previous prime is 41624119. The next prime is 41624131. The reversal of 41624128 is 82142614.

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 27123264 = 3808^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41624096 and 41624105.

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, 40258 + ... + 41278.

It is an arithmetic number, because the mean of its divisors is an integer number (1233043).

Almost surely, 2^41624128 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 41624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51787806).

41624128 is an abundant number, since it is smaller than the sum of its proper divisors (61951484).

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

41624128 is a wasteful number, since it uses less digits than its factorization.

41624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1043 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 41624128 is about 6451.6763713007. The cubic root of 41624128 is about 346.5626183468.

The spelling of 41624128 in words is "forty-one million, six hundred twenty-four thousand, one hundred twenty-eight".