288728064 has 165 divisors, whose sum is σ = 877059667. Its totient is φ = 94611456.

The previous prime is 288728059. The next prime is 288728087. The reversal of 288728064 is 460827882.

It is a happy number.

The square root of 288728064 is 16992.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4893667 + ... + 4893725.

Almost surely, 2^288728064 is an apocalyptic number.

288728064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

288728064 is the 16992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288728064

288728064 is an abundant number, since it is smaller than the sum of its proper divisors (588331603).

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

288728064 is an frugal number, since it uses more digits than its factorization.

288728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The cubic root of 288728064 is about 660.9414663109.

The spelling of 288728064 in words is "two hundred eighty-eight million, seven hundred twenty-eight thousand, sixty-four".