288522432 has 224 divisors, whose sum is σ = 949512960. Its totient is φ = 85155840.

The previous prime is 288522431. The next prime is 288522491. The reversal of 288522432 is 234225882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288522431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817168 + ... + 817520.

Almost surely, 2^288522432 is an apocalyptic number.

288522432 is a gapful number since it is divisible by the number (22) 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 288522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474756480).

288522432 is an abundant number, since it is smaller than the sum of its proper divisors (660990528).

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

288522432 is a wasteful number, since it uses less digits than its factorization.

288522432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 288522432 is about 16985.9480748058. The cubic root of 288522432 is about 660.7845216393.

The spelling of 288522432 in words is "two hundred eighty-eight million, five hundred twenty-two thousand, four hundred thirty-two".