29338933248 has 144 divisors (see below), whose sum is σ = 84873625200. Its totient is φ = 9763799040.

The previous prime is 29338933241. The next prime is 29338933249. The reversal of 29338933248 is 84233983392.

29338933248 is a `hidden beast` number, since 293 + 3 + 89 + 33 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29338933194 and 29338933203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29338933241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18818293 + ... + 18819851.

It is an arithmetic number, because the mean of its divisors is an integer number (589400175).

Almost surely, 2^29338933248 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 29338933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42436812600).

29338933248 is an abundant number, since it is smaller than the sum of its proper divisors (55534691952).

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

29338933248 is a wasteful number, since it uses less digits than its factorization.

29338933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2585 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 29338933248 in words is "twenty-nine billion, three hundred thirty-eight million, nine hundred thirty-three thousand, two hundred forty-eight".