29643138 has 96 divisors (see below), whose sum is σ = 81259200. Its totient is φ = 7959168.

The previous prime is 29643137. The next prime is 29643149. The reversal of 29643138 is 83134692.

29643138 is a `hidden beast` number, since 2 + 9 + 643 + 1 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (29643137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44653 + ... + 45311.

It is an arithmetic number, because the mean of its divisors is an integer number (846450).

Almost surely, 2^29643138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29643138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40629600).

29643138 is an abundant number, since it is smaller than the sum of its proper divisors (51616062).

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

29643138 is a wasteful number, since it uses less digits than its factorization.

29643138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 29643138 is about 5444.5512211752. The cubic root of 29643138 is about 309.4862736554.

It can be divided in two parts, 296 and 43138, that added together give a palindrome (43434).

The spelling of 29643138 in words is "twenty-nine million, six hundred forty-three thousand, one hundred thirty-eight".