284728928 has 96 divisors (see below), whose sum is σ = 635675040. Its totient is φ = 124416000.

The previous prime is 284728919. The next prime is 284728943. The reversal of 284728928 is 829827482.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572998 + ... + 1573178.

It is an arithmetic number, because the mean of its divisors is an integer number (6621615).

Almost surely, 2^284728928 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 284728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317837520).

284728928 is an abundant number, since it is smaller than the sum of its proper divisors (350946112).

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

284728928 is a wasteful number, since it uses less digits than its factorization.

284728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 50.

The square root of 284728928 is about 16873.9126464493. The cubic root of 284728928 is about 657.8757290960.

The spelling of 284728928 in words is "two hundred eighty-four million, seven hundred twenty-eight thousand, nine hundred twenty-eight".