30828941593632 has 768 divisors, whose sum is σ = 112197851136000. Its totient is φ = 8018552475648.

The previous prime is 30828941593613. The next prime is 30828941593693. The reversal of 30828941593632 is 23639514982803.

30828941593632 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 8 + 9 + 4 + 1 + 593 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 30828941593632.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6639873103 + ... + 6639877745.

It is an arithmetic number, because the mean of its divisors is an integer number (146090952000).

Almost surely, 2^{30828941593632} is an apocalyptic number.

30828941593632 is a gapful number since it is divisible by the number (32) 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 30828941593632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56098925568000).

30828941593632 is an abundant number, since it is smaller than the sum of its proper divisors (81368909542368).

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

30828941593632 is a wasteful number, since it uses less digits than its factorization.

30828941593632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 30828941593632 in words is "thirty trillion, eight hundred twenty-eight billion, nine hundred forty-one million, five hundred ninety-three thousand, six hundred thirty-two".