29728777728 has 320 divisors, whose sum is σ = 90634199040. Its totient is φ = 8583708672.

The previous prime is 29728777721. The next prime is 29728777733. The reversal of 29728777728 is 82777782792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29728777721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48182476 + ... + 48183092.

It is an arithmetic number, because the mean of its divisors is an integer number (283231872).

Almost surely, 2^29728777728 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 29728777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45317099520).

29728777728 is an abundant number, since it is smaller than the sum of its proper divisors (60905421312).

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

29728777728 is a wasteful number, since it uses less digits than its factorization.

29728777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its digits is 77446656, while the sum is 66.

The spelling of 29728777728 in words is "twenty-nine billion, seven hundred twenty-eight million, seven hundred seventy-seven thousand, seven hundred twenty-eight".