41029128 has 96 divisors (see below), whose sum is σ = 128194560. Its totient is φ = 11612160.

The previous prime is 41029111. The next prime is 41029147. The reversal of 41029128 is 82192014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63688 + ... + 64328.

It is an arithmetic number, because the mean of its divisors is an integer number (1335360).

Almost surely, 2^41029128 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 41029128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64097280).

41029128 is an abundant number, since it is smaller than the sum of its proper divisors (87165432).

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

41029128 is a wasteful number, since it uses less digits than its factorization.

41029128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41029128 is about 6405.3983482684. The cubic root of 41029128 is about 344.9033629779.

The spelling of 41029128 in words is "forty-one million, twenty-nine thousand, one hundred twenty-eight".