29810024028 has 144 divisors (see below), whose sum is σ = 79347655296. Its totient is φ = 9784463040.

The previous prime is 29810024017. The next prime is 29810024081. The reversal of 29810024028 is 82042001892.

29810024028 is a `hidden beast` number, since 298 + 100 + 240 + 28 = 666.

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 = 29810023983 and 29810024001.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43645375 + ... + 43646057.

It is an arithmetic number, because the mean of its divisors is an integer number (551025384).

Almost surely, 2^29810024028 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 29810024028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39673827648).

29810024028 is an abundant number, since it is smaller than the sum of its proper divisors (49537631268).

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

29810024028 is a wasteful number, since it uses less digits than its factorization.

29810024028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 29810024028 in words is "twenty-nine billion, eight hundred ten million, twenty-four thousand, twenty-eight".