288768564 has 252 divisors, whose sum is σ = 921057984. Its totient is φ = 78871968.

The previous prime is 288768559. The next prime is 288768569. The reversal of 288768564 is 465867882.

288768564 is a `hidden beast` number, since 2 + 8 + 8 + 76 + 8 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (288768559) and next prime (288768569).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5160960) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 288768564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288768569) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 6143989 + ... + 6144035.

It is an arithmetic number, because the mean of its divisors is an integer number (3654992).

Almost surely, 2^288768564 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 288768564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460528992).

288768564 is an abundant number, since it is smaller than the sum of its proper divisors (632289420).

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

288768564 is a wasteful number, since it uses less digits than its factorization.

288768564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 288768564 is about 16993.1916954997. The cubic root of 288768564 is about 660.9723683732.

The spelling of 288768564 in words is "two hundred eighty-eight million, seven hundred sixty-eight thousand, five hundred sixty-four".