288145248 has 48 divisors (see below), whose sum is σ = 780788736. Its totient is φ = 92949120.

The previous prime is 288145201. The next prime is 288145261. The reversal of 288145248 is 842541882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45436 + ... + 51387.

It is an arithmetic number, because the mean of its divisors is an integer number (16266432).

Almost surely, 2^288145248 is an apocalyptic number.

It is an amenable number.

288145248 is an abundant number, since it is smaller than the sum of its proper divisors (492643488).

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

288145248 is a wasteful number, since it uses less digits than its factorization.

288145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96867 (or 96859 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 288145248 is about 16974.8416192906. The cubic root of 288145248 is about 660.4964492525.

The spelling of 288145248 in words is "two hundred eighty-eight million, one hundred forty-five thousand, two hundred forty-eight".