28368648 has 288 divisors, whose sum is σ = 105636960. Its totient is φ = 6773760.

The previous prime is 28368643. The next prime is 28368701. The reversal of 28368648 is 84686382.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28368643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659715 + ... + 659757.

It is an arithmetic number, because the mean of its divisors is an integer number (366795).

Almost surely, 2^28368648 is an apocalyptic number.

28368648 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 28368648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52818480).

28368648 is an abundant number, since it is smaller than the sum of its proper divisors (77268312).

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

28368648 is a wasteful number, since it uses less digits than its factorization.

28368648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 28368648 is about 5326.2226765317. Note that the first 3 decimals coincide. The cubic root of 28368648 is about 304.9857486846.

The spelling of 28368648 in words is "twenty-eight million, three hundred sixty-eight thousand, six hundred forty-eight".