29038947768 has 160 divisors (see below), whose sum is σ = 86582034000. Its totient is φ = 9066816000.

The previous prime is 29038947761. The next prime is 29038947797. The reversal of 29038947768 is 86774983092.

29038947768 is a `hidden beast` number, since 29 + 0 + 3 + 89 + 477 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29038947761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1082518 + ... + 1109018.

Almost surely, 2^29038947768 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 29038947768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43291017000).

29038947768 is an abundant number, since it is smaller than the sum of its proper divisors (57543086232).

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

29038947768 is a wasteful number, since it uses less digits than its factorization.

29038947768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26627 (or 26614 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 29038947768 in words is "twenty-nine billion, thirty-eight million, nine hundred forty-seven thousand, seven hundred sixty-eight".