288056160 has 432 divisors, whose sum is σ = 1219222368. Its totient is φ = 60456960.

The previous prime is 288056107. The next prime is 288056161. The reversal of 288056160 is 61650882.

It is a happy number.

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 (288056161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7025740 + ... + 7025780.

It is an arithmetic number, because the mean of its divisors is an integer number (2822274).

Almost surely, 2^288056160 is an apocalyptic number.

288056160 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 288056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609611184).

288056160 is an abundant number, since it is smaller than the sum of its proper divisors (931166208).

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

288056160 is a wasteful number, since it uses less digits than its factorization.

288056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 288056160 is about 16972.2172976898. The cubic root of 288056160 is about 660.4283720433.

The spelling of 288056160 in words is "two hundred eighty-eight million, fifty-six thousand, one hundred sixty".