30864728652 has 96 divisors (see below), whose sum is σ = 78022586880. Its totient is φ = 9467082240.

The previous prime is 30864728651. The next prime is 30864728659. The reversal of 30864728652 is 25682746803.

It is a junction number, because it is equal to n+sod(n) for n = 30864728595 and 30864728604.

It is not an unprimeable number, because it can be changed into a prime (30864728651) 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 31 ways as a sum of consecutive naturals, for example, 2242263 + ... + 2255985.

It is an arithmetic number, because the mean of its divisors is an integer number (812735280).

Almost surely, 2^30864728652 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 30864728652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39011293440).

30864728652 is an abundant number, since it is smaller than the sum of its proper divisors (47157858228).

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

30864728652 is a wasteful number, since it uses less digits than its factorization.

30864728652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14063 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 30864728652 in words is "thirty billion, eight hundred sixty-four million, seven hundred twenty-eight thousand, six hundred fifty-two".