28225600 has 168 divisors, whose sum is σ = 79369920. Its totient is φ = 9799680.

The previous prime is 28225597. The next prime is 28225609. The reversal of 28225600 is 652282.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28225609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478371 + ... + 478429.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 2^28225600 is an apocalyptic number.

28225600 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 28225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

28225600 is an abundant number, since it is smaller than the sum of its proper divisors (51144320).

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

28225600 is a wasteful number, since it uses less digits than its factorization.

28225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 28225600 is about 5312.7770515993. Note that the first 3 decimals coincide. The cubic root of 28225600 is about 304.4722576674.

Adding to 28225600 its reverse (652282), we get a palindrome (28877882).

The spelling of 28225600 in words is "twenty-eight million, two hundred twenty-five thousand, six hundred".