29821021128 has 256 divisors, whose sum is σ = 90478425600. Its totient is φ = 9073658880.

The previous prime is 29821021093. The next prime is 29821021169. The reversal of 29821021128 is 82112012892.

It is a super-2 number, since 2×29821021128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29821021092 and 29821021101.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9740718 + ... + 9743778.

It is an arithmetic number, because the mean of its divisors is an integer number (353431350).

Almost surely, 2^29821021128 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 29821021128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239212800).

29821021128 is an abundant number, since it is smaller than the sum of its proper divisors (60657404472).

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

29821021128 is a wasteful number, since it uses less digits than its factorization.

29821021128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 29821021128 in words is "twenty-nine billion, eight hundred twenty-one million, twenty-one thousand, one hundred twenty-eight".