28305200 has 120 divisors (see below), whose sum is σ = 84875520. Its totient is φ = 8812800.

The previous prime is 28305197. The next prime is 28305217. The reversal of 28305200 is 250382.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30341 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (707296).

Almost surely, 2^28305200 is an apocalyptic number.

28305200 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 28305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42437760).

28305200 is an abundant number, since it is smaller than the sum of its proper divisors (56570320).

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

28305200 is a wasteful number, since it uses less digits than its factorization.

28305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 28305200 is about 5320.2631513864. The cubic root of 28305200 is about 304.7582066454.

Adding to 28305200 its reverse (250382), we get a palindrome (28555582).

The spelling of 28305200 in words is "twenty-eight million, three hundred five thousand, two hundred".