284563136 has 224 divisors, whose sum is σ = 737372160. Its totient is φ = 106905600.

The previous prime is 284563117. The next prime is 284563141. The reversal of 284563136 is 631365482.

284563136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 284563136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4823075 + ... + 4823133.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^284563136 is an apocalyptic number.

284563136 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 284563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

284563136 is an abundant number, since it is smaller than the sum of its proper divisors (452809024).

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

284563136 is a wasteful number, since it uses less digits than its factorization.

284563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 284563136 is about 16868.9992589958. Note that the first 3 decimals coincide. The cubic root of 284563136 is about 657.7480149805.

The spelling of 284563136 in words is "two hundred eighty-four million, five hundred sixty-three thousand, one hundred thirty-six".