28608864 has 48 divisors (see below), whose sum is σ = 76386240. Its totient is φ = 9372800.

The previous prime is 28608863. The next prime is 28608871. The reversal of 28608864 is 46880682.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28608863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3139 + ... + 8189.

It is an arithmetic number, because the mean of its divisors is an integer number (1591380).

Almost surely, 2^28608864 is an apocalyptic number.

28608864 is a gapful number since it is divisible by the number (24) 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 28608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193120).

28608864 is an abundant number, since it is smaller than the sum of its proper divisors (47777376).

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

28608864 is a wasteful number, since it uses less digits than its factorization.

28608864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 28608864 is about 5348.7254556576. The cubic root of 28608864 is about 305.8441685947.

The spelling of 28608864 in words is "twenty-eight million, six hundred eight thousand, eight hundred sixty-four".