28017200 has 60 divisors (see below), whose sum is σ = 68154120. Its totient is φ = 11066880.

The previous prime is 28017193. The next prime is 28017203. The reversal of 28017200 is 271082.

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

It is not an unprimeable number, because it can be changed into a prime (28017203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35207 + ... + 35993.

It is an arithmetic number, because the mean of its divisors is an integer number (1135902).

Almost surely, 2^28017200 is an apocalyptic number.

28017200 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 28017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34077060).

28017200 is an abundant number, since it is smaller than the sum of its proper divisors (40136920).

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

28017200 is a wasteful number, since it uses less digits than its factorization.

28017200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 28017200 is about 5293.1276198482. The cubic root of 28017200 is about 303.7210622345.

Adding to 28017200 its reverse (271082), we get a palindrome (28288282).

It can be divided in two parts, 2801 and 7200, that added together give a palindrome (10001).

The spelling of 28017200 in words is "twenty-eight million, seventeen thousand, two hundred".