284828672 has 44 divisors (see below), whose sum is σ = 571727100. Its totient is φ = 141828096.

The previous prime is 284828671. The next prime is 284828717. The reversal of 284828672 is 276828482.

It can be written as a sum of positive squares in 2 ways, for example, as 174662656 + 110166016 = 13216^2 + 10496^2 .

It is a super-2 number, since 2×284828672² = 162254744786567168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284828671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356978 + ... + 357774.

Almost surely, 2^284828672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285863550).

284828672 is an abundant number, since it is smaller than the sum of its proper divisors (286898428).

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

284828672 is an equidigital number, since it uses as much as digits as its factorization.

284828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1148 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The square root of 284828672 is about 16876.8679558738. The cubic root of 284828672 is about 657.9525407454.

The spelling of 284828672 in words is "two hundred eighty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".