282073248 has 108 divisors (see below), whose sum is σ = 852357870. Its totient is φ = 88467456.

The previous prime is 282073243. The next prime is 282073271. The reversal of 282073248 is 842370282.

It can be written as a sum of positive squares in 3 ways, for example, as 269879184 + 12194064 = 16428^2 + 3492^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (282073243) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81538 + ... + 84926.

Almost surely, 2^282073248 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 282073248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426178935).

282073248 is an abundant number, since it is smaller than the sum of its proper divisors (570284622).

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

282073248 is a wasteful number, since it uses less digits than its factorization.

282073248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 282073248 is about 16795.0364096063. The cubic root of 282073248 is about 655.8239910508.

The spelling of 282073248 in words is "two hundred eighty-two million, seventy-three thousand, two hundred forty-eight".