29009632848 has 160 divisors (see below), whose sum is σ = 89240002560. Its totient is φ = 7945827840.

The previous prime is 29009632819. The next prime is 29009632853. The reversal of 29009632848 is 84823690092.

It is a super-2 number, since 2×29009632848² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29009632848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101498 + ... + 1127526.

It is an arithmetic number, because the mean of its divisors is an integer number (557750016).

Almost surely, 2^29009632848 is an apocalyptic number.

29009632848 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 29009632848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44620001280).

29009632848 is an abundant number, since it is smaller than the sum of its proper divisors (60230369712).

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

29009632848 is a wasteful number, since it uses less digits than its factorization.

29009632848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26185 (or 26179 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 29009632848 in words is "twenty-nine billion, nine million, six hundred thirty-two thousand, eight hundred forty-eight".