28852200 has 240 divisors, whose sum is σ = 108703980. Its totient is φ = 7050240.

The previous prime is 28852171. The next prime is 28852223. The reversal of 28852200 is 225882.

It can be written as a sum of positive squares in 6 ways, for example, as 6441444 + 22410756 = 2538^2 + 4734^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210532 + ... + 210668.

Almost surely, 2^28852200 is an apocalyptic number.

28852200 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 28852200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54351990).

28852200 is an abundant number, since it is smaller than the sum of its proper divisors (79851780).

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

28852200 is a wasteful number, since it uses less digits than its factorization.

28852200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28852200 is about 5371.4243920956. The cubic root of 28852200 is about 306.7088526296.

The spelling of 28852200 in words is "twenty-eight million, eight hundred fifty-two thousand, two hundred".