288871248 has 80 divisors (see below), whose sum is σ = 768968640. Its totient is φ = 93391872.

The previous prime is 288871241. The next prime is 288871267. The reversal of 288871248 is 842178882.

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

It is a junction number, because it is equal to n+sod(n) for n = 288871197 and 288871206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288871241) 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, 356668 + ... + 357476.

It is an arithmetic number, because the mean of its divisors is an integer number (9612108).

Almost surely, 2^288871248 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 288871248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384484320).

288871248 is an abundant number, since it is smaller than the sum of its proper divisors (480097392).

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

288871248 is a wasteful number, since it uses less digits than its factorization.

288871248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 288871248 is about 16996.2127546110. The cubic root of 288871248 is about 661.0507047434.

It can be divided in two parts, 28887 and 1248, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 288871248 in words is "two hundred eighty-eight million, eight hundred seventy-one thousand, two hundred forty-eight".