29133220688 has 120 divisors (see below), whose sum is σ = 70445595360. Its totient is φ = 11504424960.

The previous prime is 29133220681. The next prime is 29133220729. The reversal of 29133220688 is 88602233192.

It is a super-2 number, since 2×29133220688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29133220681) 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 23 ways as a sum of consecutive naturals, for example, 639203 + ... + 683261.

It is an arithmetic number, because the mean of its divisors is an integer number (587046628).

Almost surely, 2^29133220688 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 29133220688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35222797680).

29133220688 is an abundant number, since it is smaller than the sum of its proper divisors (41312374672).

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

29133220688 is a wasteful number, since it uses less digits than its factorization.

29133220688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44125 (or 44102 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 29133220688 in words is "twenty-nine billion, one hundred thirty-three million, two hundred twenty thousand, six hundred eighty-eight".