29124144 has 80 divisors (see below), whose sum is σ = 95549440. Its totient is φ = 8320320.

The previous prime is 29124133. The next prime is 29124181. The reversal of 29124144 is 44142192.

It is a happy number.

It is a super-3 number, since 3×29124144³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (1194368).

Almost surely, 2^29124144 is an apocalyptic number.

29124144 is a gapful number since it is divisible by the number (24) 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 29124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47774720).

29124144 is an abundant number, since it is smaller than the sum of its proper divisors (66425296).

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

29124144 is a wasteful number, since it uses less digits than its factorization.

29124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9655 (or 9643 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 29124144 is about 5396.6789787794. The cubic root of 29124144 is about 307.6694604318.

It can be divided in two parts, 2912 and 4144, that added together give a square (7056 = 84²).

The spelling of 29124144 in words is "twenty-nine million, one hundred twenty-four thousand, one hundred forty-four".