28608320 has 126 divisors (see below), whose sum is σ = 77113638. Its totient is φ = 10103808.

The previous prime is 28608311. The next prime is 28608337. The reversal of 28608320 is 2380682.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 28472896 = 368^2 + 5336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1243829 + ... + 1243851.

It is an arithmetic number, because the mean of its divisors is an integer number (612013).

Almost surely, 2^28608320 is an apocalyptic number.

28608320 is a gapful number since it is divisible by the number (20) 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 28608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556819).

28608320 is an abundant number, since it is smaller than the sum of its proper divisors (48505318).

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

28608320 is a wasteful number, since it uses less digits than its factorization.

28608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 28608320 is about 5348.6746021795. The cubic root of 28608320 is about 305.8422300314.

The spelling of 28608320 in words is "twenty-eight million, six hundred eight thousand, three hundred twenty".