288485968 has 80 divisors (see below), whose sum is σ = 623620800. Its totient is φ = 128701440.

The previous prime is 288485947. The next prime is 288486007. The reversal of 288485968 is 869584882.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

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, 378708 + ... + 379468.

It is an arithmetic number, because the mean of its divisors is an integer number (7795260).

Almost surely, 2^288485968 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 288485968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311810400).

288485968 is an abundant number, since it is smaller than the sum of its proper divisors (335134832).

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

288485968 is a wasteful number, since it uses less digits than its factorization.

288485968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 58.

The square root of 288485968 is about 16984.8746830820. The cubic root of 288485968 is about 660.7566834088.

The spelling of 288485968 in words is "two hundred eighty-eight million, four hundred eighty-five thousand, nine hundred sixty-eight".