41006628 has 48 divisors (see below), whose sum is σ = 114495360. Its totient is φ = 12616992.

The previous prime is 41006627. The next prime is 41006639. The reversal of 41006628 is 82660014.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41006621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13200 + ... + 16007.

It is an arithmetic number, because the mean of its divisors is an integer number (2385320).

Almost surely, 2^41006628 is an apocalyptic number.

It is an amenable number.

41006628 is an abundant number, since it is smaller than the sum of its proper divisors (73488732).

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

41006628 is a wasteful number, since it uses less digits than its factorization.

41006628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29233 (or 29225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41006628 is about 6403.6417763644. The cubic root of 41006628 is about 344.8403041622.

The spelling of 41006628 in words is "forty-one million, six thousand, six hundred twenty-eight".