930846393828 has 576 divisors, whose sum is σ = 2775443693568. Its totient is φ = 270888468480.

The previous prime is 930846393817. The next prime is 930846393847. The reversal of 930846393828 is 828393648039.

930846393828 is a `hidden beast` number, since 9 + 3 + 0 + 8 + 463 + 93 + 82 + 8 = 666.

930846393828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3621970276 + ... + 3621970532.

Almost surely, 2^930846393828 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 930846393828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387721846784).

930846393828 is an abundant number, since it is smaller than the sum of its proper divisors (1844597299740).

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

930846393828 is a wasteful number, since it uses less digits than its factorization.

930846393828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 930846393828 in words is "nine hundred thirty billion, eight hundred forty-six million, three hundred ninety-three thousand, eight hundred twenty-eight".