29124432 has 60 divisors (see below), whose sum is σ = 83512884. Its totient is φ = 9469440.

The previous prime is 29124409. The next prime is 29124479. The reversal of 29124432 is 23442192.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 24561936 = 2136^2 + 4956^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 29124396 and 29124405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3438 + ... + 8370.

Almost surely, 2^29124432 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 29124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41756442).

29124432 is an abundant number, since it is smaller than the sum of its proper divisors (54388452).

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

29124432 is a wasteful number, since it uses less digits than its factorization.

29124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4979 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 29124432 is about 5396.7056617903. The cubic root of 29124432 is about 307.6704745790.

The spelling of 29124432 in words is "twenty-nine million, one hundred twenty-four thousand, four hundred thirty-two".