282705920 has 240 divisors, whose sum is σ = 849320640. Its totient is φ = 88080384.

The previous prime is 282705901. The next prime is 282705961. The reversal of 282705920 is 29507282.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9748466 + ... + 9748494.

It is an arithmetic number, because the mean of its divisors is an integer number (3538836).

Almost surely, 2^282705920 is an apocalyptic number.

282705920 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 282705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424660320).

282705920 is an abundant number, since it is smaller than the sum of its proper divisors (566614720).

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

282705920 is an equidigital number, since it uses as much as digits as its factorization.

282705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 282705920 is about 16813.8609486340. The cubic root of 282705920 is about 656.3139484773.

The spelling of 282705920 in words is "two hundred eighty-two million, seven hundred five thousand, nine hundred twenty".