288812368 has 80 divisors (see below), whose sum is σ = 635959296. Its totient is φ = 126120960.

The previous prime is 288812347. The next prime is 288812431. The reversal of 288812368 is 863218882.

It is a happy number.

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, 302580 + ... + 303532.

Almost surely, 2^288812368 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 288812368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317979648).

288812368 is an abundant number, since it is smaller than the sum of its proper divisors (347146928).

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

288812368 is a wasteful number, since it uses less digits than its factorization.

288812368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 288812368 is about 16994.4805157439. The cubic root of 288812368 is about 661.0057881811.

It can be divided in two parts, 288812 and 368, that added together give a triangular number (289180 = T₇₆₀).

The spelling of 288812368 in words is "two hundred eighty-eight million, eight hundred twelve thousand, three hundred sixty-eight".