282785664 has 256 divisors, whose sum is σ = 930240000. Its totient is φ = 75866112.

The previous prime is 282785617. The next prime is 282785719. The reversal of 282785664 is 466587282.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1290240) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502472 + ... + 2502584.

It is an arithmetic number, because the mean of its divisors is an integer number (3633750).

Almost surely, 2^282785664 is an apocalyptic number.

282785664 is a gapful number since it is divisible by the number (24) 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 282785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120000).

282785664 is an abundant number, since it is smaller than the sum of its proper divisors (647454336).

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

282785664 is a wasteful number, since it uses less digits than its factorization.

282785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 282785664 is about 16816.2321582452. The cubic root of 282785664 is about 656.3756523842.

The spelling of 282785664 in words is "two hundred eighty-two million, seven hundred eighty-five thousand, six hundred sixty-four".