287164008952128 has 1792 divisors, whose sum is σ = 1104288546816000. Its totient is φ = 71003132928000.

The previous prime is 287164008952123. The next prime is 287164008952229. The reversal of 287164008952128 is 821259800461782.

287164008952128 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 6 + 4 + 0 + 0 + 89 + 521 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287164008952123) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175420896526 + ... + 175420898162.

It is an arithmetic number, because the mean of its divisors is an integer number (616232448000).

Almost surely, 2^{287164008952128} is an apocalyptic number.

287164008952128 is a gapful number since it is divisible by the number (28) 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 287164008952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552144273408000).

287164008952128 is an abundant number, since it is smaller than the sum of its proper divisors (817124537863872).

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

287164008952128 is a wasteful number, since it uses less digits than its factorization.

287164008952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 287164008952128 in words is "two hundred eighty-seven trillion, one hundred sixty-four billion, eight million, nine hundred fifty-two thousand, one hundred twenty-eight".