288791040 has 160 divisors (see below), whose sum is σ = 953796096. Its totient is φ = 74465280.

The previous prime is 288791039. The next prime is 288791047. The reversal of 288791040 is 40197882.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 288791040.

It is not an unprimeable number, because it can be changed into a prime (288791047) 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, 237474 + ... + 238686.

Almost surely, 2^288791040 is an apocalyptic number.

288791040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476898048).

288791040 is an abundant number, since it is smaller than the sum of its proper divisors (665005056).

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

288791040 is a wasteful number, since it uses less digits than its factorization.

288791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 288791040 is about 16993.8530063079. The cubic root of 288791040 is about 660.9895166266.

The spelling of 288791040 in words is "two hundred eighty-eight million, seven hundred ninety-one thousand, forty".