30073724928 has 224 divisors, whose sum is σ = 95965060800. Its totient is φ = 9252569088.

The previous prime is 30073724927. The next prime is 30073724939. The reversal of 30073724928 is 82942737003.

It is not an unprimeable number, because it can be changed into a prime (30073724927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870163 + ... + 2880621.

It is an arithmetic number, because the mean of its divisors is an integer number (428415450).

Almost surely, 2^30073724928 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 30073724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47982530400).

30073724928 is an abundant number, since it is smaller than the sum of its proper divisors (65891335872).

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

30073724928 is a wasteful number, since it uses less digits than its factorization.

30073724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 30073724928 in words is "thirty billion, seventy-three million, seven hundred twenty-four thousand, nine hundred twenty-eight".