288812160 has 768 divisors, whose sum is σ = 1336608000. Its totient is φ = 55738368.

The previous prime is 288812149. The next prime is 288812207. The reversal of 288812160 is 61218882.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9959026 + ... + 9959054.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^288812160 is an apocalyptic number.

288812160 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 288812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

288812160 is an abundant number, since it is smaller than the sum of its proper divisors (1047795840).

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

288812160 is a wasteful number, since it uses less digits than its factorization.

288812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 288812160 is about 16994.4743961089. The cubic root of 288812160 is about 661.0056294976.

It can be divided in two parts, 28 and 8812160, that added together give a palindrome (8812188).

The spelling of 288812160 in words is "two hundred eighty-eight million, eight hundred twelve thousand, one hundred sixty".