288145932 has 48 divisors (see below), whose sum is σ = 707857920. Its totient is φ = 91049728.

The previous prime is 288145931. The next prime is 288145939. The reversal of 288145932 is 239541882.

It is not an unprimeable number, because it can be changed into a prime (288145931) 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, 26569 + ... + 35807.

It is an arithmetic number, because the mean of its divisors is an integer number (14747040).

Almost surely, 2^288145932 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 288145932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353928960).

288145932 is an abundant number, since it is smaller than the sum of its proper divisors (419711988).

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

288145932 is a wasteful number, since it uses less digits than its factorization.

288145932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9380 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 288145932 is about 16974.8617667420. The cubic root of 288145932 is about 660.4969718815.

The spelling of 288145932 in words is "two hundred eighty-eight million, one hundred forty-five thousand, nine hundred thirty-two".