29985032 has 32 divisors (see below), whose sum is σ = 70096320. Its totient is φ = 11682240.

The previous prime is 29985023. The next prime is 29985037. The reversal of 29985032 is 23058992.

It is not an unprimeable number, because it can be changed into a prime (29985037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23723 + ... + 24954.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 2^29985032 is an apocalyptic number.

29985032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29985032 is an abundant number, since it is smaller than the sum of its proper divisors (40111288).

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

29985032 is a wasteful number, since it uses less digits than its factorization.

29985032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48701 (or 48697 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 29985032 is about 5475.8590193686. The cubic root of 29985032 is about 310.6715652695.

The spelling of 29985032 in words is "twenty-nine million, nine hundred eighty-five thousand, thirty-two".