96828738954930 has 192 divisors, whose sum is σ = 255699210678912. Its totient is φ = 25418783093760.

The previous prime is 96828738954841. The next prime is 96828738954931. The reversal of 96828738954930 is 3945983782869.

96828738954930 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 8 + 7 + 38 + 9 + 549 + 30 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96828738954930.

It is not an unprimeable number, because it can be changed into a prime (96828738954931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3240463590 + ... + 3240493470.

It is an arithmetic number, because the mean of its divisors is an integer number (1331766722286).

Almost surely, 2^{96828738954930} is an apocalyptic number.

96828738954930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96828738954930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127849605339456).

96828738954930 is an abundant number, since it is smaller than the sum of its proper divisors (158870471723982).

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

96828738954930 is a wasteful number, since it uses less digits than its factorization.

96828738954930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31513 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 96828738954930 in words is "ninety-six trillion, eight hundred twenty-eight billion, seven hundred thirty-eight million, nine hundred fifty-four thousand, nine hundred thirty".