282097728 has 336 divisors, whose sum is σ = 978554304. Its totient is φ = 79626240.

The previous prime is 282097727. The next prime is 282097741. The reversal of 282097728 is 827790282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282097723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908176 + ... + 2908272.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^282097728 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 282097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489277152).

282097728 is an abundant number, since it is smaller than the sum of its proper divisors (696456576).

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

282097728 is a wasteful number, since it uses less digits than its factorization.

282097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 282097728 is about 16795.7651805448. The cubic root of 282097728 is about 655.8429626087.

It can be divided in two parts, 28209 and 7728, that added together give a cube (35937 = 33³).

The spelling of 282097728 in words is "two hundred eighty-two million, ninety-seven thousand, seven hundred twenty-eight".