282735420 has 96 divisors (see below), whose sum is σ = 869654016. Its totient is φ = 68064000.

The previous prime is 282735403. The next prime is 282735421. The reversal of 282735420 is 24537282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282735421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98242 + ... + 101078.

It is an arithmetic number, because the mean of its divisors is an integer number (9058896).

Almost surely, 2^282735420 is an apocalyptic number.

282735420 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 282735420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434827008).

282735420 is an abundant number, since it is smaller than the sum of its proper divisors (586918596).

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

282735420 is a wasteful number, since it uses less digits than its factorization.

282735420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 282735420 is about 16814.7381781579. The cubic root of 282735420 is about 656.3367761894.

The spelling of 282735420 in words is "two hundred eighty-two million, seven hundred thirty-five thousand, four hundred twenty".