30028768 has 72 divisors (see below), whose sum is σ = 75066264. Its totient is φ = 11692800.

The previous prime is 30028763. The next prime is 30028781. The reversal of 30028768 is 86782003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30028763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16378 + ... + 18118.

It is an arithmetic number, because the mean of its divisors is an integer number (1042587).

Almost surely, 2^30028768 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 30028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37533132).

30028768 is an abundant number, since it is smaller than the sum of its proper divisors (45037496).

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

30028768 is a wasteful number, since it uses less digits than its factorization.

30028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 30028768 is about 5479.8510928674. The cubic root of 30028768 is about 310.8225398257.

The spelling of 30028768 in words is "thirty million, twenty-eight thousand, seven hundred sixty-eight".