288145872 has 180 divisors, whose sum is σ = 949988676. Its totient is φ = 81285120.

The previous prime is 288145853. The next prime is 288145873. The reversal of 288145872 is 278541882.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 244109376 = 6636^2 + 15624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288145873) 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 35 ways as a sum of consecutive naturals, for example, 684222 + ... + 684642.

Almost surely, 2^288145872 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 288145872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474994338).

288145872 is an abundant number, since it is smaller than the sum of its proper divisors (661842804).

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

288145872 is a wasteful number, since it uses less digits than its factorization.

288145872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 288145872 is about 16974.8599994227. The cubic root of 288145872 is about 660.4969260369.

The spelling of 288145872 in words is "two hundred eighty-eight million, one hundred forty-five thousand, eight hundred seventy-two".