30828208600 has 192 divisors, whose sum is σ = 83594649600. Its totient is φ = 10355143680.

The previous prime is 30828208577. The next prime is 30828208603. The reversal of 30828208600 is 680282803.

It is a super-2 number, since 2×30828208600² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30828208600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30828208603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14756356 + ... + 14758444.

It is an arithmetic number, because the mean of its divisors is an integer number (435388800).

Almost surely, 2^30828208600 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 30828208600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41797324800).

30828208600 is an abundant number, since it is smaller than the sum of its proper divisors (52766441000).

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

30828208600 is a wasteful number, since it uses less digits than its factorization.

30828208600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 30828208600 in words is "thirty billion, eight hundred twenty-eight million, two hundred eight thousand, six hundred".