29168768 has 32 divisors (see below), whose sum is σ = 59992320. Its totient is φ = 14112000.

The previous prime is 29168767. The next prime is 29168779. The reversal of 29168768 is 86786192.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (29168767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 7643.

It is an arithmetic number, because the mean of its divisors is an integer number (1874760).

Almost surely, 2^29168768 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 29168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29996160).

29168768 is an abundant number, since it is smaller than the sum of its proper divisors (30823552).

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

29168768 is an equidigital number, since it uses as much as digits as its factorization.

29168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7384 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 29168768 is about 5400.8117908329. The cubic root of 29168768 is about 307.8265172467.

The spelling of 29168768 in words is "twenty-nine million, one hundred sixty-eight thousand, seven hundred sixty-eight".