284397568 has 156 divisors (see below), whose sum is σ = 719005980. Its totient is φ = 111476736.

The previous prime is 284397563. The next prime is 284397587. The reversal of 284397568 is 865793482.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 168792064 = 10752^2 + 12992^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

Its product of digits (2903040) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (284397563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2609098 + ... + 2609206.

Almost surely, 2^284397568 is an apocalyptic number.

284397568 is a gapful number since it is divisible by the number (28) 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 284397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359502990).

284397568 is an abundant number, since it is smaller than the sum of its proper divisors (434608412).

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

284397568 is a wasteful number, since it uses less digits than its factorization.

284397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The square root of 284397568 is about 16864.0910813480. The cubic root of 284397568 is about 657.6204239034.

The spelling of 284397568 in words is "two hundred eighty-four million, three hundred ninety-seven thousand, five hundred sixty-eight".