29088000000 has 504 divisors, whose sum is σ = 106052744070. Its totient is φ = 7680000000.

The previous prime is 29087999987. The next prime is 29088000013. The reversal of 29088000000 is 88092.

It is an interprime number because it is at equal distance from previous prime (29087999987) and next prime (29088000013).

It can be written as a sum of positive squares in 7 ways, for example, as 7316407296 + 21771592704 = 85536^2 + 147552^2 .

It is a super-2 number, since 2×29088000000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999950 + ... + 288000050.

Almost surely, 2^29088000000 is an apocalyptic number.

29088000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29088000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53026372035).

29088000000 is an abundant number, since it is smaller than the sum of its proper divisors (76964744070).

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

29088000000 is an frugal number, since it uses more digits than its factorization.

29088000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 29088000000 its reverse (88092), we get a palindrome (29088088092).

The spelling of 29088000000 in words is "twenty-nine billion, eighty-eight million", and thus it is an aban number and an uban number.