282489937920 has 672 divisors, whose sum is σ = 1020172817664. Its totient is φ = 72253440000.

The previous prime is 282489937913. The next prime is 282489937931. The reversal of 282489937920 is 29739984282.

282489937920 is a `hidden beast` number, since 2 + 82 + 489 + 9 + 3 + 79 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125457795 + ... + 1125458045.

It is an arithmetic number, because the mean of its divisors is an integer number (1518114312).

Almost surely, 2^282489937920 is an apocalyptic number.

282489937920 is a gapful number since it is divisible by the number (20) 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 282489937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510086408832).

282489937920 is an abundant number, since it is smaller than the sum of its proper divisors (737682879744).

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

282489937920 is a wasteful number, since it uses less digits than its factorization.

282489937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 282489937920 in words is "two hundred eighty-two billion, four hundred eighty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".