282736532052 has 576 divisors, whose sum is σ = 875598796800. Its totient is φ = 76082872320.

The previous prime is 282736532051. The next prime is 282736532107. The reversal of 282736532052 is 250235637282.

282736532052 is a `hidden beast` number, since 2 + 8 + 273 + 6 + 5 + 320 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 282736531989 and 282736532007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282736532051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 903311448 + ... + 903311760.

It is an arithmetic number, because the mean of its divisors is an integer number (1520136800).

Almost surely, 2^282736532052 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 282736532052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437799398400).

282736532052 is an abundant number, since it is smaller than the sum of its proper divisors (592862264748).

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

282736532052 is a wasteful number, since it uses less digits than its factorization.

282736532052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 282736532052 in words is "two hundred eighty-two billion, seven hundred thirty-six million, five hundred thirty-two thousand, fifty-two".