283483210752 has 704 divisors, whose sum is σ = 990420480000. Its totient is φ = 80060424192.

The previous prime is 283483210723. The next prime is 283483210757. The reversal of 283483210752 is 257012384382.

283483210752 is a `hidden beast` number, since 2 + 83 + 483 + 21 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 283483210698 and 283483210707.

It is not an unprimeable number, because it can be changed into a prime (283483210757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1583704999 + ... + 1583705177.

Almost surely, 2^283483210752 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 283483210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240000).

283483210752 is an abundant number, since it is smaller than the sum of its proper divisors (706937269248).

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

283483210752 is a wasteful number, since it uses less digits than its factorization.

283483210752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 283483210752 in words is "two hundred eighty-three billion, four hundred eighty-three million, two hundred ten thousand, seven hundred fifty-two".