282846720 has 160 divisors (see below), whose sum is σ = 974125152. Its totient is φ = 69599232.

The previous prime is 282846713. The next prime is 282846727. The reversal of 282846720 is 27648282.

It is an interprime number because it is at equal distance from previous prime (282846713) and next prime (282846727).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282846727) 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, 98424 + ... + 101256.

Almost surely, 2^282846720 is an apocalyptic number.

282846720 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 282846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487062576).

282846720 is an abundant number, since it is smaller than the sum of its proper divisors (691278432).

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

282846720 is a wasteful number, since it uses less digits than its factorization.

282846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 282846720 is about 16818.0474490947. The cubic root of 282846720 is about 656.4228881450.

The spelling of 282846720 in words is "two hundred eighty-two million, eight hundred forty-six thousand, seven hundred twenty".