287168128 has 128 divisors (see below), whose sum is σ = 671731200. Its totient is φ = 121098240.

The previous prime is 287168111. The next prime is 287168173. The reversal of 287168128 is 821861782.

287168128 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 (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979950 + ... + 980242.

It is an arithmetic number, because the mean of its divisors is an integer number (5247900).

Almost surely, 2^287168128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335865600).

287168128 is an abundant number, since it is smaller than the sum of its proper divisors (384563072).

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

287168128 is a wasteful number, since it uses less digits than its factorization.

287168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its digits is 86016, while the sum is 43.

The square root of 287168128 is about 16946.0357606137. The cubic root of 287168128 is about 659.7490077146.

It can be divided in two parts, 287168 and 128, that added together give a square (287296 = 536²).

The spelling of 287168128 in words is "two hundred eighty-seven million, one hundred sixty-eight thousand, one hundred twenty-eight".