29088027072 has 448 divisors, whose sum is σ = 99238003200. Its totient is φ = 8274493440.

The previous prime is 29088027061. The next prime is 29088027077. The reversal of 29088027072 is 27072088092.

It is a happy number.

It is a super-2 number, since 2×29088027072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29088027077) 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 63 ways as a sum of consecutive naturals, for example, 22530747 + ... + 22532037.

It is an arithmetic number, because the mean of its divisors is an integer number (221513400).

Almost surely, 2^29088027072 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 29088027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49619001600).

29088027072 is an abundant number, since it is smaller than the sum of its proper divisors (70149976128).

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

29088027072 is a wasteful number, since it uses less digits than its factorization.

29088027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 29088027072 in words is "twenty-nine billion, eighty-eight million, twenty-seven thousand, seventy-two".