28211200 has 144 divisors (see below), whose sum is σ = 76167000. Its totient is φ = 10321920.

The previous prime is 28211191. The next prime is 28211201. The reversal of 28211200 is 211282.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28211201) 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, 972786 + ... + 972814.

Almost surely, 2^28211200 is an apocalyptic number.

28211200 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 28211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38083500).

28211200 is an abundant number, since it is smaller than the sum of its proper divisors (47955800).

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

28211200 is a wasteful number, since it uses less digits than its factorization.

28211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 28211200 is about 5311.4216552633. The cubic root of 28211200 is about 304.4204707987.

Adding to 28211200 its reverse (211282), we get a palindrome (28422482).

The spelling of 28211200 in words is "twenty-eight million, two hundred eleven thousand, two hundred".