29114384 has 80 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 12400128.

The previous prime is 29114377. The next prime is 29114399. The reversal of 29114384 is 48341192.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29114384.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209387 + ... + 209525.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^29114384 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 29114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

29114384 is an abundant number, since it is smaller than the sum of its proper divisors (36506416).

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

29114384 is a wasteful number, since it uses less digits than its factorization.

29114384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 29114384 is about 5395.7746431815. The cubic root of 29114384 is about 307.6350881548.

The spelling of 29114384 in words is "twenty-nine million, one hundred fourteen thousand, three hundred eighty-four".