29813888 has 128 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 12165120.

The previous prime is 29813881. The next prime is 29813891. The reversal of 29813888 is 88831892.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29813881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727148 + ... + 727188.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^29813888 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 29813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

29813888 is an abundant number, since it is smaller than the sum of its proper divisors (42157312).

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

29813888 is a wasteful number, since it uses less digits than its factorization.

29813888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 221184, while the sum is 47.

The square root of 29813888 is about 5460.2095197895. The cubic root of 29813888 is about 310.0793692022.

The spelling of 29813888 in words is "twenty-nine million, eight hundred thirteen thousand, eight hundred eighty-eight".