282758062500 has 189 divisors, whose sum is σ = 894687395511. Its totient is φ = 75295800000.

The previous prime is 282758062481. The next prime is 282758062501. The reversal of 282758062500 is 5260857282.

The square root of 282758062500 is 531750.

It is a perfect power (a square), and thus also a powerful number.

282758062500 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 5 + 80 + 62 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 126777299364 + 155980763136 = 356058^2 + 394944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (282758062501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 398812146 + ... + 398812854.

Almost surely, 2^282758062500 is an apocalyptic number.

282758062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

282758062500 is the 531750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282758062500

282758062500 is an abundant number, since it is smaller than the sum of its proper divisors (611929333011).

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

282758062500 is an frugal number, since it uses more digits than its factorization.

282758062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 282758062500 in words is "two hundred eighty-two billion, seven hundred fifty-eight million, sixty-two thousand, five hundred".