288507552 has 96 divisors (see below), whose sum is σ = 810573120. Its totient is φ = 89579520.

The previous prime is 288507523. The next prime is 288507559. The reversal of 288507552 is 255705882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×288507552² = 166473215122065408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288507559) 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, 109968 + ... + 112560.

It is an arithmetic number, because the mean of its divisors is an integer number (8443470).

Almost surely, 2^288507552 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 288507552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405286560).

288507552 is an abundant number, since it is smaller than the sum of its proper divisors (522065568).

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

288507552 is a wasteful number, since it uses less digits than its factorization.

288507552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 288507552 is about 16985.5100600482. The cubic root of 288507552 is about 660.7731618724.

The spelling of 288507552 in words is "two hundred eighty-eight million, five hundred seven thousand, five hundred fifty-two".