282820720 has 160 divisors (see below), whose sum is σ = 825697152. Its totient is φ = 87699456.

The previous prime is 282820697. The next prime is 282820723. The reversal of 282820720 is 27028282.

It is a happy number.

It is a super-2 number, since 2×282820720² = 159975119322636800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282820723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385474 + ... + 386206.

Almost surely, 2^282820720 is an apocalyptic number.

282820720 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 282820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412848576).

282820720 is an abundant number, since it is smaller than the sum of its proper divisors (542876432).

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

282820720 is a wasteful number, since it uses less digits than its factorization.

282820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 282820720 is about 16817.2744521816. The cubic root of 282820720 is about 656.4027741671.

The spelling of 282820720 in words is "two hundred eighty-two million, eight hundred twenty thousand, seven hundred twenty".