288435168 has 216 divisors, whose sum is σ = 990799992. Its totient is φ = 82301184.

The previous prime is 288435167. The next prime is 288435179. The reversal of 288435168 is 861534882.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×288435168² = 166389692278376448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288435167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380646 + ... + 381402.

It is an arithmetic number, because the mean of its divisors is an integer number (4587037).

Almost surely, 2^288435168 is an apocalyptic number.

288435168 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 288435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495399996).

288435168 is an abundant number, since it is smaller than the sum of its proper divisors (702364824).

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

288435168 is an equidigital number, since it uses as much as digits as its factorization.

288435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 769 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 288435168 is about 16983.3791690582. The cubic root of 288435168 is about 660.7178965310.

The spelling of 288435168 in words is "two hundred eighty-eight million, four hundred thirty-five thousand, one hundred sixty-eight".