28327200 has 288 divisors, whose sum is σ = 106868160. Its totient is φ = 6451200.

The previous prime is 28327177. The next prime is 28327207. The reversal of 28327200 is 272382.

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

It is not an unprimeable number, because it can be changed into a prime (28327207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765582 + ... + 765618.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^28327200 is an apocalyptic number.

28327200 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 28327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

28327200 is an abundant number, since it is smaller than the sum of its proper divisors (78540960).

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

28327200 is a wasteful number, since it uses less digits than its factorization.

28327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 28327200 is about 5322.3303166940. The cubic root of 28327200 is about 304.8371431923.

Adding to 28327200 its reverse (272382), we get a palindrome (28599582).

The spelling of 28327200 in words is "twenty-eight million, three hundred twenty-seven thousand, two hundred".