29988144 has 80 divisors (see below), whose sum is σ = 87241440. Its totient is φ = 9984384.

The previous prime is 29988143. The next prime is 29988169. The reversal of 29988144 is 44188992.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29988144.

It is not an unprimeable number, because it can be changed into a prime (29988143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34564 + ... + 35420.

It is an arithmetic number, because the mean of its divisors is an integer number (1090518).

Almost surely, 2^29988144 is an apocalyptic number.

29988144 is a gapful number since it is divisible by the number (24) 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 29988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43620720).

29988144 is an abundant number, since it is smaller than the sum of its proper divisors (57253296).

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

29988144 is an frugal number, since it uses more digits than its factorization.

29988144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 862 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 29988144 is about 5476.1431683257. The cubic root of 29988144 is about 310.6823125925.

It can be divided in two parts, 299881 and 44, that added together give a triangular number (299925 = T₇₇₄).

The spelling of 29988144 in words is "twenty-nine million, nine hundred eighty-eight thousand, one hundred forty-four".