28068768 has 360 divisors, whose sum is σ = 109496772. Its totient is φ = 6967296.

The previous prime is 28068739. The next prime is 28068791. The reversal of 28068768 is 86786082.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 63504 = 5292^2 + 252^2 .

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1651096 + ... + 1651112.

Almost surely, 2^28068768 is an apocalyptic number.

28068768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54748386).

28068768 is an abundant number, since it is smaller than the sum of its proper divisors (81428004).

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

28068768 is a wasteful number, since it uses less digits than its factorization.

28068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 28068768 is about 5297.9966024904. The cubic root of 28068768 is about 303.9072893652.

The spelling of 28068768 in words is "twenty-eight million, sixty-eight thousand, seven hundred sixty-eight".