29053024 has 96 divisors (see below), whose sum is σ = 76882176. Its totient is φ = 10437120.

The previous prime is 29053021. The next prime is 29053039. The reversal of 29053024 is 42035092.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29053024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29053021) 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, 31579 + ... + 32485.

It is an arithmetic number, because the mean of its divisors is an integer number (800856).

Almost surely, 2^29053024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38441088).

29053024 is an abundant number, since it is smaller than the sum of its proper divisors (47829152).

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

29053024 is a wasteful number, since it uses less digits than its factorization.

29053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 29053024 is about 5390.0857136042. The cubic root of 29053024 is about 307.4188174436.

It can be divided in two parts, 2905 and 3024, that added together give a square (5929 = 77²).

The spelling of 29053024 in words is "twenty-nine million, fifty-three thousand, twenty-four".