29424128 has 40 divisors (see below), whose sum is σ = 59477220. Its totient is φ = 14540800.

The previous prime is 29424121. The next prime is 29424133. The reversal of 29424128 is 82142492.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29073664 + 350464 = 5392^2 + 592^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 29424094 and 29424103.

It is not an unprimeable number, because it can be changed into a prime (29424121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51428 + ... + 51996.

Almost surely, 2^29424128 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 29424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29738610).

29424128 is an abundant number, since it is smaller than the sum of its proper divisors (30053092).

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

29424128 is an equidigital number, since it uses as much as digits as its factorization.

29424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 672 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 29424128 is about 5424.4011651057. The cubic root of 29424128 is about 308.7222047131.

The spelling of 29424128 in words is "twenty-nine million, four hundred twenty-four thousand, one hundred twenty-eight".