93280768 has 80 divisors (see below), whose sum is σ = 225681984. Its totient is φ = 37601280.

The previous prime is 93280763. The next prime is 93280769. The reversal of 93280768 is 86708239.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (93280763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60163 + ... + 61693.

Almost surely, 2^93280768 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 93280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112840992).

93280768 is an abundant number, since it is smaller than the sum of its proper divisors (132401216).

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

93280768 is a wasteful number, since it uses less digits than its factorization.

93280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 93280768 is about 9658.1969331755. The cubic root of 93280768 is about 453.5209680789.

The spelling of 93280768 in words is "ninety-three million, two hundred eighty thousand, seven hundred sixty-eight".