284428225 has 9 divisors (see below), whose sum is σ = 352795593. Its totient is φ = 227475120.

The previous prime is 284428219. The next prime is 284428237. The reversal of 284428225 is 522824482.

The square root of 284428225 is 16865.

It is a perfect power (a square), and thus also a powerful number.

284428225 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 75220929 + 209207296 = 8673^2 + 14464^2 .

It is not a de Polignac number, because 284428225 - 2²¹ = 282331073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82639 + ... + 86011.

Almost surely, 2^284428225 is an apocalyptic number.

284428225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284428225 is the 16865-th square number.

284428225 is the 8433-rd centered octagonal number.

It is an amenable number.

284428225 is a deficient number, since it is larger than the sum of its proper divisors (68367368).

284428225 is an frugal number, since it uses more digits than its factorization.

284428225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 3378 counting only the distinct ones).

The product of its digits is 81920, while the sum is 37.

The cubic root of 284428225 is about 657.6440527329.

The spelling of 284428225 in words is "two hundred eighty-four million, four hundred twenty-eight thousand, two hundred twenty-five".