28313600 has 144 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 9584640.

The previous prime is 28313587. The next prime is 28313617. The reversal of 28313600 is 631382.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358361 + ... + 358439.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^28313600 is an apocalyptic number.

28313600 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 28313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

28313600 is an abundant number, since it is smaller than the sum of its proper divisors (52931200).

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

28313600 is an equidigital number, since it uses as much as digits as its factorization.

28313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 28313600 is about 5321.0525274611. The cubic root of 28313600 is about 304.7883508796.

Adding to 28313600 its reverse (631382), we get a palindrome (28944982).

The spelling of 28313600 in words is "twenty-eight million, three hundred thirteen thousand, six hundred".