29963988 has 72 divisors (see below), whose sum is σ = 80982720. Its totient is φ = 9313920.

The previous prime is 29963981. The next prime is 29964001. The reversal of 29963988 is 88936992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29963981) by changing a digit.

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, 48256 + ... + 48872.

It is an arithmetic number, because the mean of its divisors is an integer number (1124760).

Almost surely, 2^29963988 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 29963988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40491360).

29963988 is an abundant number, since it is smaller than the sum of its proper divisors (51018732).

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

29963988 is a wasteful number, since it uses less digits than its factorization.

29963988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 712 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 29963988 is about 5473.9371571110. The cubic root of 29963988 is about 310.5988700833.

The spelling of 29963988 in words is "twenty-nine million, nine hundred sixty-three thousand, nine hundred eighty-eight".