284234832 has 400 divisors, whose sum is σ = 1058682240. Its totient is φ = 71663616.

The previous prime is 284234809. The next prime is 284234833. The reversal of 284234832 is 238432482.

It is a happy number.

284234832 is a `hidden beast` number, since 284 + 2 + 348 + 32 = 666.

284234832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (284234833) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930208 + ... + 2930304.

Almost surely, 2^284234832 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 284234832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529341120).

284234832 is an abundant number, since it is smaller than the sum of its proper divisors (774447408).

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

284234832 is a wasteful number, since it uses less digits than its factorization.

284234832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 284234832 is about 16859.2654644264. The cubic root of 284234832 is about 657.4949669746.

The spelling of 284234832 in words is "two hundred eighty-four million, two hundred thirty-four thousand, eight hundred thirty-two".