282825648 has 240 divisors, whose sum is σ = 977080320. Its totient is φ = 78019200.

The previous prime is 282825629. The next prime is 282825671. The reversal of 282825648 is 846528282.

282825648 is a `hidden beast` number, since 2 + 8 + 2 + 82 + 564 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655993 + ... + 656423.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2^282825648 is an apocalyptic number.

282825648 is a gapful number since it is divisible by the number (28) 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 282825648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

282825648 is an abundant number, since it is smaller than the sum of its proper divisors (694254672).

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

282825648 is a wasteful number, since it uses less digits than its factorization.

282825648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 282825648 is about 16817.4209675562. The cubic root of 282825648 is about 656.4065866342.

It can be divided in two parts, 28282 and 5648, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 282825648 in words is "two hundred eighty-two million, eight hundred twenty-five thousand, six hundred forty-eight".