29988288 has 84 divisors (see below), whose sum is σ = 93790008. Its totient is φ = 9085440.

The previous prime is 29988263. The next prime is 29988311. The reversal of 29988288 is 88288992.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3970 + ... + 8702.

Almost surely, 2^29988288 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 29988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46895004).

29988288 is an abundant number, since it is smaller than the sum of its proper divisors (63801720).

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

29988288 is a wasteful number, since it uses less digits than its factorization.

29988288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4749 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 29988288 is about 5476.1563162496. The cubic root of 29988288 is about 310.6828098799.

It can be divided in two parts, 29988 and 288, that added together give a square (30276 = 174²).

The spelling of 29988288 in words is "twenty-nine million, nine hundred eighty-eight thousand, two hundred eighty-eight".