29144320 has 36 divisors (see below), whose sum is σ = 69812820. Its totient is φ = 11657216.

The previous prime is 29144299. The next prime is 29144321. The reversal of 29144320 is 2344192.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 25080064 = 2016^2 + 5008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29144321) 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 3 ways as a sum of consecutive naturals, for example, 10105 + ... + 12664.

It is an arithmetic number, because the mean of its divisors is an integer number (1939245).

Almost surely, 2^29144320 is an apocalyptic number.

29144320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29144320 is an abundant number, since it is smaller than the sum of its proper divisors (40668500).

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

29144320 is an equidigital number, since it uses as much as digits as its factorization.

29144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22790 (or 22776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 29144320 is about 5398.5479529222. The cubic root of 29144320 is about 307.7404909159.

The spelling of 29144320 in words is "twenty-nine million, one hundred forty-four thousand, three hundred twenty".