29809728 has 112 divisors (see below), whose sum is σ = 94447360. Its totient is φ = 9165312.

The previous prime is 29809723. The next prime is 29809733. The reversal of 29809728 is 82790892.

It is an interprime number because it is at equal distance from previous prime (29809723) and next prime (29809733).

It is a super-4 number, since 4×29809728⁴ (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (29809723) 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, 21801 + ... + 23127.

It is an arithmetic number, because the mean of its divisors is an integer number (843280).

Almost surely, 2^29809728 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 29809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223680).

29809728 is an abundant number, since it is smaller than the sum of its proper divisors (64637632).

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

29809728 is a wasteful number, since it uses less digits than its factorization.

29809728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29809728 is about 5459.8285687373. The cubic root of 29809728 is about 310.0649465034.

The spelling of 29809728 in words is "twenty-nine million, eight hundred nine thousand, seven hundred twenty-eight".