29730688 has 64 divisors (see below), whose sum is σ = 67601520. Its totient is φ = 12902400.

The previous prime is 29730677. The next prime is 29730689. The reversal of 29730688 is 88603792.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29730689) 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 7 ways as a sum of consecutive naturals, for example, 27763 + ... + 28813.

Almost surely, 2^29730688 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 29730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33800760).

29730688 is an abundant number, since it is smaller than the sum of its proper divisors (37870832).

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

29730688 is a wasteful number, since it uses less digits than its factorization.

29730688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 29730688 is about 5452.5854417881. The cubic root of 29730688 is about 309.7906599151.

The spelling of 29730688 in words is "twenty-nine million, seven hundred thirty thousand, six hundred eighty-eight".