93828757968 has 960 divisors, whose sum is σ = 340682194944. Its totient is φ = 24634368000.

The previous prime is 93828757961. The next prime is 93828757969. The reversal of 93828757968 is 86975782839.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 93828757896 and 93828757905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93828757961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518390838 + ... + 518391018.

Almost surely, 2^93828757968 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 93828757968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170341097472).

93828757968 is an abundant number, since it is smaller than the sum of its proper divisors (246853436976).

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

93828757968 is a wasteful number, since it uses less digits than its factorization.

93828757968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 93828757968 in words is "ninety-three billion, eight hundred twenty-eight million, seven hundred fifty-seven thousand, nine hundred sixty-eight".