288920064 has 80 divisors (see below), whose sum is σ = 779771520. Its totient is φ = 95047680.

The previous prime is 288920063. The next prime is 288920101. The reversal of 288920064 is 460029882.

It is not an unprimeable number, because it can be changed into a prime (288920063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120154 + ... + 122534.

It is an arithmetic number, because the mean of its divisors is an integer number (9747144).

Almost surely, 2^288920064 is an apocalyptic number.

288920064 is a gapful number since it is divisible by the number (24) 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 288920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389885760).

288920064 is an abundant number, since it is smaller than the sum of its proper divisors (490851456).

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

288920064 is an equidigital number, since it uses as much as digits as its factorization.

288920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 288920064 is about 16997.6487785811. The cubic root of 288920064 is about 661.0879393637.

The spelling of 288920064 in words is "two hundred eighty-eight million, nine hundred twenty thousand, sixty-four".