29044128 has 48 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 9578496.

The previous prime is 29044121. The next prime is 29044133. The reversal of 29044128 is 82144092.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29044128² = 1687122742560768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29044095 and 29044104.

It is not an unprimeable number, because it can be changed into a prime (29044121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7753 + ... + 10871.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^29044128 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 29044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

29044128 is an abundant number, since it is smaller than the sum of its proper divisors (48007392).

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

29044128 is a wasteful number, since it uses less digits than its factorization.

29044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 29044128 is about 5389.2604316362. The cubic root of 29044128 is about 307.3874371533.

The spelling of 29044128 in words is "twenty-nine million, forty-four thousand, one hundred twenty-eight".