282828564480 has 2304 divisors, whose sum is σ = 1290691584000. Its totient is φ = 52022476800.

The previous prime is 282828564463. The next prime is 282828564503. The reversal of 282828564480 is 84465828282.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 282828564480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9123502065 + ... + 9123502095.

It is an arithmetic number, because the mean of its divisors is an integer number (560196000).

Almost surely, 2^282828564480 is an apocalyptic number.

282828564480 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 282828564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645345792000).

282828564480 is an abundant number, since it is smaller than the sum of its proper divisors (1007863019520).

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

282828564480 is a wasteful number, since it uses less digits than its factorization.

282828564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 57.

The spelling of 282828564480 in words is "two hundred eighty-two billion, eight hundred twenty-eight million, five hundred sixty-four thousand, four hundred eighty".