28305600 has 84 divisors (see below), whose sum is σ = 92881704. Its totient is φ = 7546880.

The previous prime is 28305593. The next prime is 28305619. The reversal of 28305600 is 650382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1852 + ... + 7748.

Almost surely, 2^28305600 is an apocalyptic number.

28305600 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 28305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46440852).

28305600 is an abundant number, since it is smaller than the sum of its proper divisors (64576104).

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

28305600 is a wasteful number, since it uses less digits than its factorization.

28305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 28305600 is about 5320.3007433791. The cubic root of 28305600 is about 304.7596422203.

Adding to 28305600 its reverse (650382), we get a palindrome (28955982).

The spelling of 28305600 in words is "twenty-eight million, three hundred five thousand, six hundred".