282964752 has 240 divisors, whose sum is σ = 967354752. Its totient is φ = 78382080.

The previous prime is 282964751. The next prime is 282964757. The reversal of 282964752 is 257469282.

It is a junction number, because it is equal to n+sod(n) for n = 282964698 and 282964707.

It is not an unprimeable number, because it can be changed into a prime (282964751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006852 + ... + 1007132.

Almost surely, 2^282964752 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 282964752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483677376).

282964752 is an abundant number, since it is smaller than the sum of its proper divisors (684390000).

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

282964752 is a wasteful number, since it uses less digits than its factorization.

282964752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 282964752 is about 16821.5561705807. The cubic root of 282964752 is about 656.5141839200.

The spelling of 282964752 in words is "two hundred eighty-two million, nine hundred sixty-four thousand, seven hundred fifty-two".