282664057000 has 128 divisors (see below), whose sum is σ = 723992724000. Its totient is φ = 102657024000.

The previous prime is 282664056979. The next prime is 282664057009. The reversal of 282664057000 is 750466282.

It can be written as a sum of positive squares in 16 ways, for example, as 109429963204 + 173234093796 = 330802^2 + 416214^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (282664057009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614776 + ... + 971224.

Almost surely, 2^282664057000 is an apocalyptic number.

282664057000 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 282664057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361996362000).

282664057000 is an abundant number, since it is smaller than the sum of its proper divisors (441328667000).

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

282664057000 is a wasteful number, since it uses less digits than its factorization.

282664057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356544 (or 356530 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 282664057000 in words is "two hundred eighty-two billion, six hundred sixty-four million, fifty-seven thousand".