282085128 has 96 divisors (see below), whose sum is σ = 832890240. Its totient is φ = 85726080.

The previous prime is 282085127. The next prime is 282085169. The reversal of 282085128 is 821580282.

It is a happy number.

It is a super-3 number, since 3×282085128³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 282085092 and 282085101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282085127) 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, 75873 + ... + 79503.

It is an arithmetic number, because the mean of its divisors is an integer number (8675940).

Almost surely, 2^282085128 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 282085128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416445120).

282085128 is an abundant number, since it is smaller than the sum of its proper divisors (550805112).

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

282085128 is a wasteful number, since it uses less digits than its factorization.

282085128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 282085128 is about 16795.3900818052. The cubic root of 282085128 is about 655.8331979733.

The spelling of 282085128 in words is "two hundred eighty-two million, eighty-five thousand, one hundred twenty-eight".