41628816 has 140 divisors (see below), whose sum is σ = 125231568. Its totient is φ = 13390272.

The previous prime is 41628803. The next prime is 41628841. The reversal of 41628816 is 61882614.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 501511 + ... + 501593.

Almost surely, 2^41628816 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 41628816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62615784).

41628816 is an abundant number, since it is smaller than the sum of its proper divisors (83602752).

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

41628816 is an equidigital number, since it uses as much as digits as its factorization.

41628816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

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

The square root of 41628816 is about 6452.0396774973. The cubic root of 41628816 is about 346.5756286258.

The spelling of 41628816 in words is "forty-one million, six hundred twenty-eight thousand, eight hundred sixteen".