28672200 has 144 divisors (see below), whose sum is σ = 102063780. Its totient is φ = 7188480.

The previous prime is 28672199. The next prime is 28672207. The reversal of 28672200 is 227682.

It can be written as a sum of positive squares in 6 ways, for example, as 6937956 + 21734244 = 2634^2 + 4662^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28672207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30132 + ... + 31068.

Almost surely, 2^28672200 is an apocalyptic number.

28672200 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 28672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51031890).

28672200 is an abundant number, since it is smaller than the sum of its proper divisors (73391580).

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

28672200 is a wasteful number, since it uses less digits than its factorization.

28672200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28672200 is about 5354.6428452325. The cubic root of 28672200 is about 306.0697008979.

Adding to 28672200 its reverse (227682), we get a palindrome (28899882).

The spelling of 28672200 in words is "twenty-eight million, six hundred seventy-two thousand, two hundred".