29885688 has 144 divisors (see below), whose sum is σ = 96833880. Its totient is φ = 8297856.

The previous prime is 29885657. The next prime is 29885701. The reversal of 29885688 is 88658892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151606 + ... + 151802.

Almost surely, 2^29885688 is an apocalyptic number.

29885688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29885688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48416940).

29885688 is an abundant number, since it is smaller than the sum of its proper divisors (66948192).

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

29885688 is a wasteful number, since it uses less digits than its factorization.

29885688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 29885688 is about 5466.7804053209. The cubic root of 29885688 is about 310.3280883028.

The spelling of 29885688 in words is "twenty-nine million, eight hundred eighty-five thousand, six hundred eighty-eight".