28228200 has 384 divisors, whose sum is σ = 119992320. Its totient is φ = 5299200.

The previous prime is 28228169. The next prime is 28228229. The reversal of 28228200 is 282282.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600577 + ... + 600623.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^28228200 is an apocalyptic number.

28228200 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 28228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

28228200 is an abundant number, since it is smaller than the sum of its proper divisors (91764120).

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

28228200 is a wasteful number, since it uses less digits than its factorization.

28228200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28228200 is about 5313.0217390860. The cubic root of 28228200 is about 304.4816061969.

Multiplying 28228200 by its reverse (282282), we get a square (7968312752400 = 2822820²).

28228200 divided by its reverse (282282) gives a square (100 = 10²).

It can be divided in two parts, 282 and 28200, that multiplied together give a square (7952400 = 2820²).

The spelling of 28228200 in words is "twenty-eight million, two hundred twenty-eight thousand, two hundred".