282628785600 has 2016 divisors, whose sum is σ = 1275361228800. Its totient is φ = 60615475200.

The previous prime is 282628785589. The next prime is 282628785601. The reversal of 282628785600 is 6587826282.

282628785600 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 2 + 8 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282628785601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3871627164 + ... + 3871627236.

Almost surely, 2^282628785600 is an apocalyptic number.

282628785600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282628785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637680614400).

282628785600 is an abundant number, since it is smaller than the sum of its proper divisors (992732443200).

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

282628785600 is a wasteful number, since it uses less digits than its factorization.

282628785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 282628785600 in words is "two hundred eighty-two billion, six hundred twenty-eight million, seven hundred eighty-five thousand, six hundred".