280728827082 has 256 divisors, whose sum is σ = 709980733440. Its totient is φ = 81481982400.

The previous prime is 280728827081. The next prime is 280728827087.

280728827082 is a `hidden beast` number, since 280 + 7 + 288 + 2 + 7 + 0 + 82 = 666.

280728827082 is nontrivially palindromic in base 10.

280728827082 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (280728827081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513215133 + ... + 513215679.

It is an arithmetic number, because the mean of its divisors is an integer number (2773362240).

Almost surely, 2^280728827082 is an apocalyptic number.

280728827082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 280728827082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354990366720).

280728827082 is an abundant number, since it is smaller than the sum of its proper divisors (429251906358).

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

280728827082 is a wasteful number, since it uses less digits than its factorization.

280728827082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 280728827082 in words is "two hundred eighty billion, seven hundred twenty-eight million, eight hundred twenty-seven thousand, eighty-two".