282100896 has 144 divisors (see below), whose sum is σ = 1000254528. Its totient is φ = 73267200.

The previous prime is 282100891. The next prime is 282100921. The reversal of 282100896 is 698001282.

282100896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 282100896.

It is not an unprimeable number, because it can be changed into a prime (282100891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15816 + ... + 28536.

It is an arithmetic number, because the mean of its divisors is an integer number (6946212).

Almost surely, 2^282100896 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 282100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500127264).

282100896 is an abundant number, since it is smaller than the sum of its proper divisors (718153632).

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

282100896 is a wasteful number, since it uses less digits than its factorization.

282100896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 282100896 is about 16795.8594897671. The cubic root of 282100896 is about 655.8454176713.

The spelling of 282100896 in words is "two hundred eighty-two million, one hundred thousand, eight hundred ninety-six".