30528768100 has 72 divisors (see below), whose sum is σ = 67972212000. Its totient is φ = 11894534400.

The previous prime is 30528768097. The next prime is 30528768103. The reversal of 30528768100 is 186782503.

It is an interprime number because it is at equal distance from previous prime (30528768097) and next prime (30528768103).

It is a super-2 number, since 2×30528768100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30528768103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2696251 + ... + 2707549.

It is an arithmetic number, because the mean of its divisors is an integer number (944058500).

Almost surely, 2^30528768100 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 30528768100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33986106000).

30528768100 is an abundant number, since it is smaller than the sum of its proper divisors (37443443900).

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

30528768100 is a wasteful number, since it uses less digits than its factorization.

30528768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12013 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 30528768100 in words is "thirty billion, five hundred twenty-eight million, seven hundred sixty-eight thousand, one hundred".