29128071312 has 160 divisors (see below), whose sum is σ = 84422870400. Its totient is φ = 9615241728.

The previous prime is 29128071233. The next prime is 29128071319. The reversal of 29128071312 is 21317082192.

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

It is not an unprimeable number, because it can be changed into a prime (29128071319) 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 31 ways as a sum of consecutive naturals, for example, 26264614 + ... + 26265722.

It is an arithmetic number, because the mean of its divisors is an integer number (527642940).

Almost surely, 2^29128071312 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 29128071312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42211435200).

29128071312 is an abundant number, since it is smaller than the sum of its proper divisors (55294799088).

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

29128071312 is a wasteful number, since it uses less digits than its factorization.

29128071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

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

The spelling of 29128071312 in words is "twenty-nine billion, one hundred twenty-eight million, seventy-one thousand, three hundred twelve".