29852256 has 96 divisors (see below), whose sum is σ = 92510208. Its totient is φ = 8248320.

The previous prime is 29852243. The next prime is 29852269. The reversal of 29852256 is 65225892.

It is an interprime number because it is at equal distance from previous prime (29852243) and next prime (29852269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20116 + ... + 21548.

It is an arithmetic number, because the mean of its divisors is an integer number (963648).

Almost surely, 2^29852256 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 29852256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46255104).

29852256 is an abundant number, since it is smaller than the sum of its proper divisors (62657952).

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

29852256 is a wasteful number, since it uses less digits than its factorization.

29852256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 29852256 is about 5463.7218084379. The cubic root of 29852256 is about 310.2123276559.

The spelling of 29852256 in words is "twenty-nine million, eight hundred fifty-two thousand, two hundred fifty-six".