29805131328 has 112 divisors (see below), whose sum is σ = 90597679104. Its totient is φ = 8471093760.

The previous prime is 29805131287. The next prime is 29805131329. The reversal of 29805131328 is 82313150892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 29805131328.

It is not an unprimeable number, because it can be changed into a prime (29805131329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198651 + ... + 314757.

Almost surely, 2^29805131328 is an apocalyptic number.

29805131328 is a gapful number since it is divisible by the number (28) 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 29805131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45298839552).

29805131328 is an abundant number, since it is smaller than the sum of its proper divisors (60792547776).

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

29805131328 is a wasteful number, since it uses less digits than its factorization.

29805131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116320 (or 116310 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 29805131328 in words is "twenty-nine billion, eight hundred five million, one hundred thirty-one thousand, three hundred twenty-eight".