282136896 has 84 divisors (see below), whose sum is σ = 856294452. Its totient is φ = 88510464.

The previous prime is 282136891. The next prime is 282136901. The reversal of 282136896 is 698631282.

282136896 is a `hidden beast` number, since 282 + 1 + 368 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (282136891) and next prime (282136901).

It can be written as a sum of positive squares in 2 ways, for example, as 129960000 + 152176896 = 11400^2 + 12336^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282136891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4615 + ... + 24198.

Almost surely, 2^282136896 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 282136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428147226).

282136896 is an abundant number, since it is smaller than the sum of its proper divisors (574157556).

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

282136896 is a wasteful number, since it uses less digits than its factorization.

282136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28848 (or 28835 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 282136896 is about 16796.9311482782. The cubic root of 282136896 is about 655.8733148186.

The spelling of 282136896 in words is "two hundred eighty-two million, one hundred thirty-six thousand, eight hundred ninety-six".