288460928 has 64 divisors (see below), whose sum is σ = 663734400. Its totient is φ = 122314752.

The previous prime is 288460919. The next prime is 288460933. The reversal of 288460928 is 829064882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85253 + ... + 88571.

It is an arithmetic number, because the mean of its divisors is an integer number (10370850).

Almost surely, 2^288460928 is an apocalyptic number.

288460928 is a gapful number since it is divisible by the number (28) 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 288460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331867200).

288460928 is an abundant number, since it is smaller than the sum of its proper divisors (375273472).

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

288460928 is an equidigital number, since it uses as much as digits as its factorization.

288460928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 288460928 is about 16984.1375406583. The cubic root of 288460928 is about 660.7375654066.

The spelling of 288460928 in words is "two hundred eighty-eight million, four hundred sixty thousand, nine hundred twenty-eight".