288090432 has 280 divisors, whose sum is σ = 1035612864. Its totient is φ = 77303808.

The previous prime is 288090403. The next prime is 288090443. The reversal of 288090432 is 234090882.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616663 + ... + 617129.

Almost surely, 2^288090432 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 288090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517806432).

288090432 is an abundant number, since it is smaller than the sum of its proper divisors (747522432).

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

288090432 is a wasteful number, since it uses less digits than its factorization.

288090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 288090432 is about 16973.2269177078. The cubic root of 288090432 is about 660.4545628893.

The spelling of 288090432 in words is "two hundred eighty-eight million, ninety thousand, four hundred thirty-two".