282008653920 has 576 divisors, whose sum is σ = 1143752762880. Its totient is φ = 64279277568.

The previous prime is 282008653919. The next prime is 282008653939. The reversal of 282008653920 is 29356800282.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114033804 + ... + 114036276.

It is an arithmetic number, because the mean of its divisors is an integer number (1985681880).

Almost surely, 2^282008653920 is an apocalyptic number.

282008653920 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 282008653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571876381440).

282008653920 is an abundant number, since it is smaller than the sum of its proper divisors (861744108960).

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

282008653920 is a wasteful number, since it uses less digits than its factorization.

282008653920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 282008653920 in words is "two hundred eighty-two billion, eight million, six hundred fifty-three thousand, nine hundred twenty".