28585648 has 80 divisors (see below), whose sum is σ = 70620480. Its totient is φ = 10902528.

The previous prime is 28585631. The next prime is 28585649. The reversal of 28585648 is 84658582.

It is a junction number, because it is equal to n+sod(n) for n = 28585598 and 28585607.

It is not an unprimeable number, because it can be changed into a prime (28585649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41886 + ... + 42562.

It is an arithmetic number, because the mean of its divisors is an integer number (882756).

Almost surely, 2^28585648 is an apocalyptic number.

28585648 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 28585648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310240).

28585648 is an abundant number, since it is smaller than the sum of its proper divisors (42034832).

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

28585648 is a wasteful number, since it uses less digits than its factorization.

28585648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its digits is 614400, while the sum is 46.

The square root of 28585648 is about 5346.5547785466. The cubic root of 28585648 is about 305.7614156904.

The spelling of 28585648 in words is "twenty-eight million, five hundred eighty-five thousand, six hundred forty-eight".