29257056 has 144 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 9031680.

The previous prime is 29257037. The next prime is 29257057. The reversal of 29257056 is 65075292.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29257056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29257057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258856 + ... + 258968.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^29257056 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 29257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

29257056 is an abundant number, since it is smaller than the sum of its proper divisors (60374304).

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

29257056 is a wasteful number, since it uses less digits than its factorization.

29257056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 29257056 is about 5408.9792012911. The cubic root of 29257056 is about 308.1367807610.

The spelling of 29257056 in words is "twenty-nine million, two hundred fifty-seven thousand, fifty-six".