29013712128 has 216 divisors, whose sum is σ = 88389100800. Its totient is φ = 9138081792.

The previous prime is 29013712121. The next prime is 29013712129. The reversal of 29013712128 is 82121731092.

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

It is a junction number, because it is equal to n+sod(n) for n = 29013712092 and 29013712101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29013712121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135733 + ... + 3144971.

It is an arithmetic number, because the mean of its divisors is an integer number (409208800).

Almost surely, 2^29013712128 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 29013712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44194550400).

29013712128 is an abundant number, since it is smaller than the sum of its proper divisors (59375388672).

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

29013712128 is a wasteful number, since it uses less digits than its factorization.

29013712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 29013712128 in words is "twenty-nine billion, thirteen million, seven hundred twelve thousand, one hundred twenty-eight".