284321339520 has 128 divisors (see below), whose sum is σ = 906860767680. Its totient is φ = 75769958400.

The previous prime is 284321339459. The next prime is 284321339521. The reversal of 284321339520 is 25933123482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×284321339520² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284321339521) 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, 2969190 + ... + 3063450.

Almost surely, 2^284321339520 is an apocalyptic number.

284321339520 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 284321339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453430383840).

284321339520 is an abundant number, since it is smaller than the sum of its proper divisors (622539428160).

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

284321339520 is a wasteful number, since it uses less digits than its factorization.

284321339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95854 (or 95842 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 284321339520 in words is "two hundred eighty-four billion, three hundred twenty-one million, three hundred thirty-nine thousand, five hundred twenty".