282772347840 has 1120 divisors, whose sum is σ = 1114850525184. Its totient is φ = 67722117120.

The previous prime is 282772347833. The next prime is 282772347887. The reversal of 282772347840 is 48743277282.

282772347840 is a `hidden beast` number, since 2 + 82 + 77 + 23 + 478 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1734799599 + ... + 1734799761.

Almost surely, 2^282772347840 is an apocalyptic number.

282772347840 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 282772347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557425262592).

282772347840 is an abundant number, since it is smaller than the sum of its proper divisors (832078177344).

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

282772347840 is a wasteful number, since it uses less digits than its factorization.

282772347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 282772347840 in words is "two hundred eighty-two billion, seven hundred seventy-two million, three hundred forty-seven thousand, eight hundred forty".