284128460 has 72 divisors (see below), whose sum is σ = 757212624. Its totient is φ = 88556160.

The previous prime is 284128421. The next prime is 284128469. The reversal of 284128460 is 64821482.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 284128460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284128469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399 + ... + 23958.

It is an arithmetic number, because the mean of its divisors is an integer number (10516842).

Almost surely, 2^284128460 is an apocalyptic number.

284128460 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 284128460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378606312).

284128460 is an abundant number, since it is smaller than the sum of its proper divisors (473084164).

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

284128460 is a wasteful number, since it uses less digits than its factorization.

284128460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26391 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 284128460 is about 16856.1104647543. The cubic root of 284128460 is about 657.4129364688.

The spelling of 284128460 in words is "two hundred eighty-four million, one hundred twenty-eight thousand, four hundred sixty".