282448320 has 224 divisors, whose sum is σ = 1118347776. Its totient is φ = 58675200.

The previous prime is 282448301. The next prime is 282448363. The reversal of 282448320 is 23844282.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 72010 + ... + 75830.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^282448320 is an apocalyptic number.

282448320 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 282448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559173888).

282448320 is an abundant number, since it is smaller than the sum of its proper divisors (835899456).

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

282448320 is a wasteful number, since it uses less digits than its factorization.

282448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 282448320 is about 16806.1988563744. The cubic root of 282448320 is about 656.1145447413.

The spelling of 282448320 in words is "two hundred eighty-two million, four hundred forty-eight thousand, three hundred twenty".