283200000 has 240 divisors, whose sum is σ = 959001120. Its totient is φ = 74240000.

The previous prime is 283199999. The next prime is 283200011. The reversal of 283200000 is 2382.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799971 + ... + 4800029.

It is an arithmetic number, because the mean of its divisors is an integer number (3995838).

Almost surely, 2^283200000 is an apocalyptic number.

283200000 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 283200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479500560).

283200000 is an abundant number, since it is smaller than the sum of its proper divisors (675801120).

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

283200000 is an frugal number, since it uses more digits than its factorization.

283200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 283200000 is about 16828.5471743701. The cubic root of 283200000 is about 656.6960686100.

Adding to 283200000 its reverse (2382), we get a palindrome (283202382).

The spelling of 283200000 in words is "two hundred eighty-three million, two hundred thousand".