284227320 has 128 divisors (see below), whose sum is σ = 924618240. Its totient is φ = 69480960.

The previous prime is 284227319. The next prime is 284227337. The reversal of 284227320 is 23722482.

284227320 = T₁₀₄ + T₁₀₅ + ... + T₁₁₉₄.

284227320 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 (30).

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, 259975 + ... + 261065.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^284227320 is an apocalyptic number.

284227320 is a gapful number since it is divisible by the number (20) 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 284227320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

284227320 is an abundant number, since it is smaller than the sum of its proper divisors (640390920).

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

284227320 is a wasteful number, since it uses less digits than its factorization.

284227320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 284227320 is about 16859.0426774476. The cubic root of 284227320 is about 657.4891746448.

The spelling of 284227320 in words is "two hundred eighty-four million, two hundred twenty-seven thousand, three hundred twenty".