30950857728 has 528 divisors, whose sum is σ = 110809186560. Its totient is φ = 8358764544.

The previous prime is 30950857723. The next prime is 30950857739. The reversal of 30950857728 is 82775805903.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30950857723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69866275 + ... + 69866717.

Almost surely, 2^30950857728 is an apocalyptic number.

30950857728 is a gapful number since it is divisible by the number (38) 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 30950857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404593280).

30950857728 is an abundant number, since it is smaller than the sum of its proper divisors (79858328832).

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

30950857728 is a wasteful number, since it uses less digits than its factorization.

30950857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 309508 and 57728, that added together give a square (367236 = 606²).

The spelling of 30950857728 in words is "thirty billion, nine hundred fifty million, eight hundred fifty-seven thousand, seven hundred twenty-eight".