283728 has 40 divisors (see below), whose sum is σ = 767808. Its totient is φ = 90112.

The previous prime is 283721. The next prime is 283741. The reversal of 283728 is 827382.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2⁵ + 8⁴ + 7³ + 3⁶ + 2¹⁴ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 283695 and 283704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283721) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976 + ... + 1232.

2²⁸³⁷²⁸ 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 283728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383904).

283728 is an abundant number, since it is smaller than the sum of its proper divisors (484080).

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

283728 is a wasteful number, since it uses less digits than its factorization.

283728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 283728 is about 532.6612431931. The cubic root of 283728 is about 65.7103931442.

The spelling of 283728 in words is "two hundred eighty-three thousand, seven hundred twenty-eight".