29005068288 has 192 divisors, whose sum is σ = 88845120000. Its totient is φ = 8243085312.

The previous prime is 29005068269. The next prime is 29005068307. The reversal of 29005068288 is 88286050092.

It is an interprime number because it is at equal distance from previous prime (29005068269) and next prime (29005068307).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8556898 + ... + 8560286.

It is an arithmetic number, because the mean of its divisors is an integer number (462735000).

Almost surely, 2^29005068288 is an apocalyptic number.

29005068288 is a gapful number since it is divisible by the number (28) 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 29005068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44422560000).

29005068288 is an abundant number, since it is smaller than the sum of its proper divisors (59840051712).

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

29005068288 is a wasteful number, since it uses less digits than its factorization.

29005068288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 29005068288 in words is "twenty-nine billion, five million, sixty-eight thousand, two hundred eighty-eight".