30288505728 has 128 divisors (see below), whose sum is σ = 89630704800. Its totient is φ = 8998133760.

The previous prime is 30288505711. The next prime is 30288505813. The reversal of 30288505728 is 82750588203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 40158 + ... + 249378.

Almost surely, 2^30288505728 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 30288505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815352400).

30288505728 is an abundant number, since it is smaller than the sum of its proper divisors (59342199072).

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

30288505728 is a wasteful number, since it uses less digits than its factorization.

30288505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209280 (or 209268 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 30288505728 in words is "thirty billion, two hundred eighty-eight million, five hundred five thousand, seven hundred twenty-eight".