29144000 has 56 divisors (see below), whose sum is σ = 72194928. Its totient is φ = 11654400.

The previous prime is 29143993. The next prime is 29144023. The reversal of 29144000 is 44192.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6179 + ... + 9821.

Almost surely, 2^29144000 is an apocalyptic number.

29144000 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 29144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36097464).

29144000 is an abundant number, since it is smaller than the sum of its proper divisors (43050928).

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

29144000 is an equidigital number, since it uses as much as digits as its factorization.

29144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 29144000 is about 5398.5183152417. The cubic root of 29144000 is about 307.7393645979.

Adding to 29144000 its reverse (44192), we get a palindrome (29188192).

The spelling of 29144000 in words is "twenty-nine million, one hundred forty-four thousand".