29678688 has 72 divisors (see below), whose sum is σ = 90902448. Its totient is φ = 9130752.

The previous prime is 29678657. The next prime is 29678689. The reversal of 29678688 is 88687692.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29678689) 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 11 ways as a sum of consecutive naturals, for example, 220 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (1262534).

Almost surely, 2^29678688 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 29678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45451224).

29678688 is an abundant number, since it is smaller than the sum of its proper divisors (61223760).

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

29678688 is a wasteful number, since it uses less digits than its factorization.

29678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7945 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 29678688 is about 5447.8149748317. The cubic root of 29678688 is about 309.6099429934.

The spelling of 29678688 in words is "twenty-nine million, six hundred seventy-eight thousand, six hundred eighty-eight".