284025072 has 80 divisors (see below), whose sum is σ = 799056000. Its totient is φ = 86591232.

The previous prime is 284025067. The next prime is 284025097. The reversal of 284025072 is 270520482.

284025072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21079 + ... + 31817.

It is an arithmetic number, because the mean of its divisors is an integer number (9988200).

Almost surely, 2^284025072 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 284025072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399528000).

284025072 is an abundant number, since it is smaller than the sum of its proper divisors (515030928).

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

284025072 is a wasteful number, since it uses less digits than its factorization.

284025072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 284025072 is about 16853.0434046792. The cubic root of 284025072 is about 657.3331875008. Note that the first 3 decimals are identical.

The spelling of 284025072 in words is "two hundred eighty-four million, twenty-five thousand, seventy-two".