288891856 has 90 divisors (see below), whose sum is σ = 638116710. Its totient is φ = 126593280.

The previous prime is 288891803. The next prime is 288891871. The reversal of 288891856 is 658198882.

It can be written as a sum of positive squares in 3 ways, for example, as 190881856 + 98010000 = 13816^2 + 9900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288891797 and 288891806.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2650330 + ... + 2650438.

Almost surely, 2^288891856 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 288891856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319058355).

288891856 is an abundant number, since it is smaller than the sum of its proper divisors (349224854).

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

288891856 is a wasteful number, since it uses less digits than its factorization.

288891856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 159 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 55.

The square root of 288891856 is about 16996.8189965064. The cubic root of 288891856 is about 661.0664240983.

The spelling of 288891856 in words is "two hundred eighty-eight million, eight hundred ninety-one thousand, eight hundred fifty-six".