29338000000 has 112 divisors (see below), whose sum is σ = 73062541350. Its totient is φ = 11734400000.

The previous prime is 29337999989. The next prime is 29338000001. The reversal of 29338000000 is 83392.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 13480138816 + 15857861184 = 116104^2 + 125928^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (29338000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1992666 + ... + 2007334.

Almost surely, 2^29338000000 is an apocalyptic number.

29338000000 is a gapful number since it is divisible by the number (20) 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 29338000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36531270675).

29338000000 is an abundant number, since it is smaller than the sum of its proper divisors (43724541350).

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

29338000000 is an frugal number, since it uses more digits than its factorization.

29338000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 29338000000 its reverse (83392), we get a palindrome (29338083392).

The spelling of 29338000000 in words is "twenty-nine billion, three hundred thirty-eight million", and thus it is an aban number.