284232432 has 80 divisors (see below), whose sum is σ = 803520000. Its totient is φ = 85862400.

The previous prime is 284232379. The next prime is 284232437. The reversal of 284232432 is 234232482.

284232432 = T₇₉₄₃ + T₇₉₄₄ + ... + T₇₉₅₁.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 284232432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284232437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226944 + ... + 228192.

It is an arithmetic number, because the mean of its divisors is an integer number (10044000).

Almost surely, 2^284232432 is an apocalyptic number.

284232432 is a gapful number since it is divisible by the number (22) 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 284232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760000).

284232432 is an abundant number, since it is smaller than the sum of its proper divisors (519287568).

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

284232432 is a wasteful number, since it uses less digits than its factorization.

284232432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1696 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 284232432 is about 16859.1942867979. The cubic root of 284232432 is about 657.4931164011.

The spelling of 284232432 in words is "two hundred eighty-four million, two hundred thirty-two thousand, four hundred thirty-two".