29018016 has 72 divisors (see below), whose sum is σ = 86879520. Its totient is φ = 9161856.

The previous prime is 29017999. The next prime is 29018039. The reversal of 29018016 is 61081092.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2821 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (1206660).

Almost surely, 2^29018016 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 29018016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43439760).

29018016 is an abundant number, since it is smaller than the sum of its proper divisors (57861504).

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

29018016 is a wasteful number, since it uses less digits than its factorization.

29018016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 29018016 is about 5386.8372910271. The cubic root of 29018016 is about 307.2952910764.

The spelling of 29018016 in words is "twenty-nine million, eighteen thousand, sixteen".