284642688 has 128 divisors (see below), whose sum is σ = 836236800. Its totient is φ = 85063680.

The previous prime is 284642681. The next prime is 284642693. The reversal of 284642688 is 886246482.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284642681) by changing a digit.

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, 333270 + ... + 334122.

It is an arithmetic number, because the mean of its divisors is an integer number (6533100).

Almost surely, 2^284642688 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 284642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418118400).

284642688 is an abundant number, since it is smaller than the sum of its proper divisors (551594112).

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

284642688 is a wasteful number, since it uses less digits than its factorization.

284642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 284642688 is about 16871.3570290004. The cubic root of 284642688 is about 657.8093022524.

The spelling of 284642688 in words is "two hundred eighty-four million, six hundred forty-two thousand, six hundred eighty-eight".