29129928024 has 64 divisors (see below), whose sum is σ = 75382272000. Its totient is φ = 9373117824.

The previous prime is 29129928001. The next prime is 29129928031. The reversal of 29129928024 is 42082992192.

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 15 ways as a sum of consecutive naturals, for example, 16374 + ... + 241925.

It is an arithmetic number, because the mean of its divisors is an integer number (1177848000).

Almost surely, 2^29129928024 is an apocalyptic number.

29129928024 is a gapful number since it is divisible by the number (24) 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 29129928024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37691136000).

29129928024 is an abundant number, since it is smaller than the sum of its proper divisors (46252343976).

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

29129928024 is a wasteful number, since it uses less digits than its factorization.

29129928024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258472 (or 258468 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 29129928024 in words is "twenty-nine billion, one hundred twenty-nine million, nine hundred twenty-eight thousand, twenty-four".