288742368 has 96 divisors (see below), whose sum is σ = 795578112. Its totient is φ = 91520000.

The previous prime is 288742367. The next prime is 288742369. The reversal of 288742368 is 863247882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (288742367) and next prime (288742369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288742367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553948 + ... + 554468.

It is an arithmetic number, because the mean of its divisors is an integer number (8287272).

Almost surely, 2^288742368 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 288742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397789056).

288742368 is an abundant number, since it is smaller than the sum of its proper divisors (506835744).

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

288742368 is a wasteful number, since it uses less digits than its factorization.

288742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 288742368 is about 16992.4208987419. The cubic root of 288742368 is about 660.9523807916.

The spelling of 288742368 in words is "two hundred eighty-eight million, seven hundred forty-two thousand, three hundred sixty-eight".