4287989160 has 576 divisors, whose sum is σ = 18274838400. Its totient is φ = 846775296.

The previous prime is 4287989159. The next prime is 4287989201. The reversal of 4287989160 is 619897824.

4287989160 is a `hidden beast` number, since 428 + 79 + 8 + 91 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4287989097 and 4287989106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51662479 + ... + 51662561.

It is an arithmetic number, because the mean of its divisors is an integer number (31727150).

Almost surely, 2^4287989160 is an apocalyptic number.

4287989160 is a gapful number since it is divisible by the number (40) 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 4287989160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137419200).

4287989160 is an abundant number, since it is smaller than the sum of its proper divisors (13986849240).

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

4287989160 is a wasteful number, since it uses less digits than its factorization.

4287989160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 4287989160 is about 65482.7394051287. The cubic root of 4287989160 is about 1624.6178711727.

The spelling of 4287989160 in words is "four billion, two hundred eighty-seven million, nine hundred eighty-nine thousand, one hundred sixty".