41516928 has 128 divisors (see below), whose sum is σ = 125949600. Its totient is φ = 13455360.

The previous prime is 41516921. The next prime is 41516939. The reversal of 41516928 is 82961514.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 41516892 and 41516901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41516921) 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, 141550 + ... + 141842.

Almost surely, 2^41516928 is an apocalyptic number.

41516928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62974800).

41516928 is an abundant number, since it is smaller than the sum of its proper divisors (84432672).

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

41516928 is a wasteful number, since it uses less digits than its factorization.

41516928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 41516928 is about 6443.3630970170. The cubic root of 41516928 is about 346.2648467266.

The spelling of 41516928 in words is "forty-one million, five hundred sixteen thousand, nine hundred twenty-eight".