282638587280 has 320 divisors, whose sum is σ = 813292945920. Its totient is φ = 89181388800.

The previous prime is 282638587229. The next prime is 282638587291. The reversal of 282638587280 is 82785836282.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112112420 + ... + 112114940.

It is an arithmetic number, because the mean of its divisors is an integer number (2541540456).

Almost surely, 2^282638587280 is an apocalyptic number.

282638587280 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 282638587280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406646472960).

282638587280 is an abundant number, since it is smaller than the sum of its proper divisors (530654358640).

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

282638587280 is a wasteful number, since it uses less digits than its factorization.

282638587280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 59.

The spelling of 282638587280 in words is "two hundred eighty-two billion, six hundred thirty-eight million, five hundred eighty-seven thousand, two hundred eighty".