282728082390 has 256 divisors, whose sum is σ = 787725533952. Its totient is φ = 64323846144.

The previous prime is 282728082341. The next prime is 282728082431. The reversal of 282728082390 is 93280827282.

282728082390 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×282728082390² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124384294 + ... + 124386566.

It is an arithmetic number, because the mean of its divisors is an integer number (3077052867).

Almost surely, 2^282728082390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282728082390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393862766976).

282728082390 is an abundant number, since it is smaller than the sum of its proper divisors (504997451562).

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

282728082390 is a wasteful number, since it uses less digits than its factorization.

282728082390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 282728082390 in words is "two hundred eighty-two billion, seven hundred twenty-eight million, eighty-two thousand, three hundred ninety".