30288768 has 32 divisors (see below), whose sum is σ = 80455560. Its totient is φ = 10096128.

The previous prime is 30288763. The next prime is 30288773. The reversal of 30288768 is 86788203.

It is an interprime number because it is at equal distance from previous prime (30288763) and next prime (30288773).

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30288761) 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 3 ways as a sum of consecutive naturals, for example, 39055 + ... + 39822.

Almost surely, 2^30288768 is an apocalyptic number.

It is an amenable number.

30288768 is an abundant number, since it is smaller than the sum of its proper divisors (50166792).

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

30288768 is an equidigital number, since it uses as much as digits as its factorization.

30288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78894 (or 78882 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 30288768 is about 5503.5232351649. The cubic root of 30288768 is about 311.7170347008.

The spelling of 30288768 in words is "thirty million, two hundred eighty-eight thousand, seven hundred sixty-eight".