29168256 has 64 divisors (see below), whose sum is σ = 83452320. Its totient is φ = 8973312.

The previous prime is 29168239. The next prime is 29168257. The reversal of 29168256 is 65286192.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (29168257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2071 + ... + 7913.

Almost surely, 2^29168256 is an apocalyptic number.

29168256 is a gapful number since it is divisible by the number (26) 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 29168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726160).

29168256 is an abundant number, since it is smaller than the sum of its proper divisors (54284064).

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

29168256 is a wasteful number, since it uses less digits than its factorization.

29168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5861 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 29168256 is about 5400.7643903433. The cubic root of 29168256 is about 307.8247161410.

The spelling of 29168256 in words is "twenty-nine million, one hundred sixty-eight thousand, two hundred fifty-six".