29923304832 has 96 divisors (see below), whose sum is σ = 86163480000. Its totient is φ = 9967942656.

The previous prime is 29923304797. The next prime is 29923304843. The reversal of 29923304832 is 23840332992.

29923304832 is a `hidden beast` number, since 299 + 23 + 304 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961169 + ... + 1976367.

It is an arithmetic number, because the mean of its divisors is an integer number (897536250).

Almost surely, 2^29923304832 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 29923304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43081740000).

29923304832 is an abundant number, since it is smaller than the sum of its proper divisors (56240175168).

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

29923304832 is a wasteful number, since it uses less digits than its factorization.

29923304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 29923304832 in words is "twenty-nine billion, nine hundred twenty-three million, three hundred four thousand, eight hundred thirty-two".