282433528728 has 576 divisors, whose sum is σ = 925520450400. Its totient is φ = 80352829440.

The previous prime is 282433528693. The next prime is 282433528807. The reversal of 282433528728 is 827825334282.

282433528728 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 335 + 287 + 28 = 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 143 ways as a sum of consecutive naturals, for example, 340691418 + ... + 340692246.

Almost surely, 2^282433528728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282433528728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462760225200).

282433528728 is an abundant number, since it is smaller than the sum of its proper divisors (643086921672).

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

282433528728 is a wasteful number, since it uses less digits than its factorization.

282433528728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 925 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 282433528728 in words is "two hundred eighty-two billion, four hundred thirty-three million, five hundred twenty-eight thousand, seven hundred twenty-eight".