29882152768 has 84 divisors (see below), whose sum is σ = 64376241580. Its totient is φ = 13761845760.

The previous prime is 29882152763. The next prime is 29882152829. The reversal of 29882152768 is 86725128892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 25164111424 + 4718041344 = 158632^2 + 68688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29882152763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64820058 + ... + 64820518.

Almost surely, 2^29882152768 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 29882152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188120790).

29882152768 is an abundant number, since it is smaller than the sum of its proper divisors (34494088812).

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

29882152768 is an frugal number, since it uses more digits than its factorization.

29882152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 476 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 58.

The spelling of 29882152768 in words is "twenty-nine billion, eight hundred eighty-two million, one hundred fifty-two thousand, seven hundred sixty-eight".