283672000 has 112 divisors (see below), whose sum is σ = 715609440. Its totient is φ = 111360000.

The previous prime is 283671967. The next prime is 283672027. The reversal of 283672000 is 276382.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 283672000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471700 + ... + 472300.

It is an arithmetic number, because the mean of its divisors is an integer number (6389370).

Almost surely, 2^283672000 is an apocalyptic number.

283672000 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 283672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804720).

283672000 is an abundant number, since it is smaller than the sum of its proper divisors (431937440).

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

283672000 is an equidigital number, since it uses as much as digits as its factorization.

283672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 283672000 is about 16842.5651253008. The cubic root of 283672000 is about 657.0606972627.

The spelling of 283672000 in words is "two hundred eighty-three million, six hundred seventy-two thousand".