30933346772328 has 1536 divisors, whose sum is σ = 114733656576000. Its totient is φ = 6813318758400.

The previous prime is 30933346772303. The next prime is 30933346772329. The reversal of 30933346772328 is 82327764333903.

It is not an unprimeable number, because it can be changed into a prime (30933346772329) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10145405748 + ... + 10145408796.

It is an arithmetic number, because the mean of its divisors is an integer number (74696391000).

Almost surely, 2^{30933346772328} 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 30933346772328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57366828288000).

30933346772328 is an abundant number, since it is smaller than the sum of its proper divisors (83800309803672).

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

30933346772328 is a wasteful number, since it uses less digits than its factorization.

30933346772328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 60.

The spelling of 30933346772328 in words is "thirty trillion, nine hundred thirty-three billion, three hundred forty-six million, seven hundred seventy-two thousand, three hundred twenty-eight".