284191120 has 40 divisors (see below), whose sum is σ = 661457664. Its totient is φ = 113553792.

The previous prime is 284191109. The next prime is 284191121. The reversal of 284191120 is 21191482.

284191120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (284191121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124227 + ... + 126493.

Almost surely, 2^284191120 is an apocalyptic number.

284191120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284191120 is an abundant number, since it is smaller than the sum of its proper divisors (377266544).

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

284191120 is a wasteful number, since it uses less digits than its factorization.

284191120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 284191120 is about 16857.9690354443. The cubic root of 284191120 is about 657.4612602291.

It can be divided in two parts, 2841 and 91120, that added together give a triangular number (93961 = T₄₃₃).

The spelling of 284191120 in words is "two hundred eighty-four million, one hundred ninety-one thousand, one hundred twenty".