29144192 has 64 divisors (see below), whose sum is σ = 72411840. Its totient is φ = 11351040.

The previous prime is 29144191. The next prime is 29144209.

29144192 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (29144191) 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 7 ways as a sum of consecutive naturals, for example, 8378 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (1131435).

Almost surely, 2^29144192 is an apocalyptic number.

29144192 is a gapful number since it is divisible by the number (22) 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 29144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36205920).

29144192 is an abundant number, since it is smaller than the sum of its proper divisors (43267648).

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

29144192 is a wasteful number, since it uses less digits than its factorization.

29144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2977 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 29144192 is about 5398.5360978695. The cubic root of 29144192 is about 307.7400403897.

The spelling of 29144192 in words is "twenty-nine million, one hundred forty-four thousand, one hundred ninety-two".