283868820 has 96 divisors (see below), whose sum is σ = 913651200. Its totient is φ = 73084032.

The previous prime is 283868803. The next prime is 283868821. The reversal of 283868820 is 28868382.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283868821) 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, 6597 + ... + 24723.

It is an arithmetic number, because the mean of its divisors is an integer number (9517200).

Almost surely, 2^283868820 is an apocalyptic number.

283868820 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 283868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456825600).

283868820 is an abundant number, since it is smaller than the sum of its proper divisors (629782380).

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

283868820 is a wasteful number, since it uses less digits than its factorization.

283868820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18174 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 283868820 is about 16848.4070463649. The cubic root of 283868820 is about 657.2126248278.

The spelling of 283868820 in words is "two hundred eighty-three million, eight hundred sixty-eight thousand, eight hundred twenty".