282413492928 has 252 divisors, whose sum is σ = 947107905120. Its totient is φ = 80221768704.

The previous prime is 282413492927. The next prime is 282413492947. The reversal of 282413492928 is 829294314282.

282413492928 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 1 + 349 + 292 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (282413492923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4853833 + ... + 4911671.

Almost surely, 2^282413492928 is an apocalyptic number.

282413492928 is a gapful number since it is divisible by the number (28) 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 282413492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473553952560).

282413492928 is an abundant number, since it is smaller than the sum of its proper divisors (664694412192).

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

282413492928 is a wasteful number, since it uses less digits than its factorization.

282413492928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58044 (or 58024 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 282413492928 in words is "two hundred eighty-two billion, four hundred thirteen million, four hundred ninety-two thousand, nine hundred twenty-eight".