29256128 has 56 divisors (see below), whose sum is σ = 65562480. Its totient is φ = 12830720.

The previous prime is 29256119. The next prime is 29256191. The reversal of 29256128 is 82165292.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 19700 + ... + 21132.

Almost surely, 2^29256128 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 29256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32781240).

29256128 is an abundant number, since it is smaller than the sum of its proper divisors (36306352).

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

29256128 is a wasteful number, since it uses less digits than its factorization.

29256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 29256128 is about 5408.8934173267. The cubic root of 29256128 is about 308.1335228124.

The spelling of 29256128 in words is "twenty-nine million, two hundred fifty-six thousand, one hundred twenty-eight".