30728309931360 has 288 divisors, whose sum is σ = 106603394133600. Its totient is φ = 8058068582400.

The previous prime is 30728309931359. The next prime is 30728309931377. The reversal of 30728309931360 is 6313990382703.

30728309931360 is a `hidden beast` number, since 307 + 28 + 309 + 9 + 3 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30728309931360² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30728309931297 and 30728309931306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414655591 + ... + 414729689.

It is an arithmetic number, because the mean of its divisors is an integer number (370150674075).

Almost surely, 2^{30728309931360} is an apocalyptic number.

30728309931360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30728309931360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53301697066800).

30728309931360 is an abundant number, since it is smaller than the sum of its proper divisors (75875084202240).

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

30728309931360 is a wasteful number, since it uses less digits than its factorization.

30728309931360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78902 (or 78891 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 30728309931360 in words is "thirty trillion, seven hundred twenty-eight billion, three hundred nine million, nine hundred thirty-one thousand, three hundred sixty".