29928096 has 192 divisors, whose sum is σ = 98703360. Its totient is φ = 8743680.

The previous prime is 29928091. The next prime is 29928127. The reversal of 29928096 is 69082992.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29928091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446655 + ... + 446721.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^29928096 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 29928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

29928096 is an abundant number, since it is smaller than the sum of its proper divisors (68775264).

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

29928096 is a wasteful number, since it uses less digits than its factorization.

29928096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29928096 is about 5470.6577301089. The cubic root of 29928096 is about 310.4748048356.

The spelling of 29928096 in words is "twenty-nine million, nine hundred twenty-eight thousand, ninety-six".