29341728 has 144 divisors (see below), whose sum is σ = 95351256. Its totient is φ = 8478720.

The previous prime is 29341709. The next prime is 29341751. The reversal of 29341728 is 82714392.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 7551504 = 4668^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29341692 and 29341701.

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 23 ways as a sum of consecutive naturals, for example, 63418 + ... + 63878.

Almost surely, 2^29341728 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 29341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47675628).

29341728 is an abundant number, since it is smaller than the sum of its proper divisors (66009528).

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

29341728 is a wasteful number, since it uses less digits than its factorization.

29341728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 29341728 is about 5416.8005316792. The cubic root of 29341728 is about 308.4337510438.

The spelling of 29341728 in words is "twenty-nine million, three hundred forty-one thousand, seven hundred twenty-eight".