93388768 has 72 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 41817600.

The previous prime is 93388759. The next prime is 93388831. The reversal of 93388768 is 86788339.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344473 + ... + 344743.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^93388768 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 93388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

93388768 is an abundant number, since it is smaller than the sum of its proper divisors (111729152).

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

93388768 is a wasteful number, since it uses less digits than its factorization.

93388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 93388768 is about 9663.7864214810. The cubic root of 93388768 is about 453.6959286655.

The spelling of 93388768 in words is "ninety-three million, three hundred eighty-eight thousand, seven hundred sixty-eight".