93252768 has 96 divisors (see below), whose sum is σ = 281917440. Its totient is φ = 26438400.

The previous prime is 93252751. The next prime is 93252773. The reversal of 93252768 is 86725239.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101013 + ... + 101931.

It is an arithmetic number, because the mean of its divisors is an integer number (2936640).

Almost surely, 2^93252768 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 93252768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140958720).

93252768 is an abundant number, since it is smaller than the sum of its proper divisors (188664672).

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

93252768 is a wasteful number, since it uses less digits than its factorization.

93252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 93252768 is about 9656.7472784577. The cubic root of 93252768 is about 453.4755858843.

The spelling of 93252768 in words is "ninety-three million, two hundred fifty-two thousand, seven hundred sixty-eight".