29427144 has 32 divisors (see below), whose sum is σ = 73756320. Its totient is φ = 9783936.

The previous prime is 29427133. The next prime is 29427149. The reversal of 29427144 is 44172492.

29427144 is nontrivially palindromic in base 13.

It is not an unprimeable number, because it can be changed into a prime (29427149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9627 + ... + 12309.

It is an arithmetic number, because the mean of its divisors is an integer number (2304885).

Almost surely, 2^29427144 is an apocalyptic number.

29427144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29427144 is an abundant number, since it is smaller than the sum of its proper divisors (44329176).

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

29427144 is a wasteful number, since it uses less digits than its factorization.

29427144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3145 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 29427144 is about 5424.6791610196. The cubic root of 29427144 is about 308.7327524554.

The spelling of 29427144 in words is "twenty-nine million, four hundred twenty-seven thousand, one hundred forty-four".