288113760 has 480 divisors, whose sum is σ = 1159183872. Its totient is φ = 66769920.

The previous prime is 288113743. The next prime is 288113767. The reversal of 288113760 is 67311882.

288113760 is a `hidden beast` number, since 288 + 1 + 1 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×288113760³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288113767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6130057 + ... + 6130103.

Almost surely, 2^288113760 is an apocalyptic number.

288113760 is a gapful number since it is divisible by the number (20) 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 288113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579591936).

288113760 is an abundant number, since it is smaller than the sum of its proper divisors (871070112).

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

288113760 is a wasteful number, since it uses less digits than its factorization.

288113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 288113760 is about 16973.9141037063. The cubic root of 288113760 is about 660.4723890838.

It can be divided in two parts, 2881 and 13760, that added together give a square (16641 = 129²).

The spelling of 288113760 in words is "two hundred eighty-eight million, one hundred thirteen thousand, seven hundred sixty".