284427936 has 240 divisors, whose sum is σ = 942568704. Its totient is φ = 83483136.

The previous prime is 284427907. The next prime is 284427937. The reversal of 284427936 is 639724482.

It is a super-3 number, since 3×284427936³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284427891 and 284427900.

It is not an unprimeable number, because it can be changed into a prime (284427937) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 774825 + ... + 775191.

Almost surely, 2^284427936 is an apocalyptic number.

284427936 is a gapful number since it is divisible by the number (26) 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 284427936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471284352).

284427936 is an abundant number, since it is smaller than the sum of its proper divisors (658140768).

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

284427936 is a wasteful number, since it uses less digits than its factorization.

284427936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 284427936 is about 16864.9914319575. The cubic root of 284427936 is about 657.6438299946.

The spelling of 284427936 in words is "two hundred eighty-four million, four hundred twenty-seven thousand, nine hundred thirty-six".