288792064 has 80 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 128358400.

The previous prime is 288792061. The next prime is 288792103. The reversal of 288792064 is 460297882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288792061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264159 + ... + 265249.

Almost surely, 2^288792064 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 288792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

288792064 is an abundant number, since it is smaller than the sum of its proper divisors (354666752).

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

288792064 is a wasteful number, since it uses less digits than its factorization.

288792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 288792064 is about 16993.8831348224. The cubic root of 288792064 is about 660.9902978749.

The spelling of 288792064 in words is "two hundred eighty-eight million, seven hundred ninety-two thousand, sixty-four".