29838128 has 40 divisors (see below), whose sum is σ = 61679088. Its totient is φ = 13934592.

The previous prime is 29838121. The next prime is 29838131. The reversal of 29838128 is 82183892.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29838121) 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, 44000 + ... + 44672.

Almost surely, 2^29838128 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 29838128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30839544).

29838128 is an abundant number, since it is smaller than the sum of its proper divisors (31840960).

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

29838128 is a wasteful number, since it uses less digits than its factorization.

29838128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 29838128 is about 5462.4287638376. The cubic root of 29838128 is about 310.1633824848.

It can be divided in two parts, 2983 and 8128, that added together give a palindrome (11111).

The spelling of 29838128 in words is "twenty-nine million, eight hundred thirty-eight thousand, one hundred twenty-eight".