29234113128 has 192 divisors, whose sum is σ = 88660915200. Its totient is φ = 8625536640.

The previous prime is 29234113093. The next prime is 29234113147. The reversal of 29234113128 is 82131143292.

29234113128 is a `hidden beast` number, since 292 + 341 + 1 + 3 + 1 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29234113092 and 29234113101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12497383 + ... + 12499721.

It is an arithmetic number, because the mean of its divisors is an integer number (461775600).

Almost surely, 2^29234113128 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 29234113128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330457600).

29234113128 is an abundant number, since it is smaller than the sum of its proper divisors (59426802072).

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

29234113128 is a wasteful number, since it uses less digits than its factorization.

29234113128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2765 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 29234113128 in words is "twenty-nine billion, two hundred thirty-four million, one hundred thirteen thousand, one hundred twenty-eight".