282788352 has 240 divisors, whose sum is σ = 1018809792. Its totient is φ = 73359360.

The previous prime is 282788351. The next prime is 282788369. The reversal of 282788352 is 253887282.

282788352 is a `hidden beast` number, since 28 + 278 + 8 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 282788298 and 282788307.

It is not an unprimeable number, because it can be changed into a prime (282788351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354418 + ... + 355214.

Almost surely, 2^282788352 is an apocalyptic number.

282788352 is a gapful number since it is divisible by the number (22) 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 282788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509404896).

282788352 is an abundant number, since it is smaller than the sum of its proper divisors (736021440).

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

282788352 is a wasteful number, since it uses less digits than its factorization.

282788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 820 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 282788352 is about 16816.3120808339. The cubic root of 282788352 is about 656.3777320891.

The spelling of 282788352 in words is "two hundred eighty-two million, seven hundred eighty-eight thousand, three hundred fifty-two".