284738064 has 80 divisors (see below), whose sum is σ = 798615552. Its totient is φ = 86897664.

The previous prime is 284738059. The next prime is 284738081. The reversal of 284738064 is 460837482.

284738064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77452 + ... + 81044.

Almost surely, 2^284738064 is an apocalyptic number.

284738064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284738064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399307776).

284738064 is an abundant number, since it is smaller than the sum of its proper divisors (513877488).

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

284738064 is a wasteful number, since it uses less digits than its factorization.

284738064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 284738064 is about 16874.1833580177. The cubic root of 284738064 is about 657.8827653654.

The spelling of 284738064 in words is "two hundred eighty-four million, seven hundred thirty-eight thousand, sixty-four".