28320768 has 132 divisors (see below), whose sum is σ = 93670720. Its totient is φ = 8073216.

The previous prime is 28320749. The next prime is 28320769. The reversal of 28320768 is 86702382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28320769) 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, 64293 + ... + 64731.

Almost surely, 2^28320768 is an apocalyptic number.

28320768 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 28320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46835360).

28320768 is an abundant number, since it is smaller than the sum of its proper divisors (65349952).

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

28320768 is a wasteful number, since it uses less digits than its factorization.

28320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28320768 is about 5321.7260357895. The cubic root of 28320768 is about 304.8140692454.

28320768 divided by its product of nonzero digits (32256) gives a palindrome (878).

The spelling of 28320768 in words is "twenty-eight million, three hundred twenty thousand, seven hundred sixty-eight".