368120288 has 48 divisors (see below), whose sum is σ = 787530240. Its totient is φ = 168739200.

The previous prime is 368120281. The next prime is 368120297. The reversal of 368120288 is 882021863.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368120281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9083 + ... + 28613.

It is an arithmetic number, because the mean of its divisors is an integer number (16406880).

Almost surely, 2^368120288 is an apocalyptic number.

368120288 is a gapful number since it is divisible by the number (38) 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 368120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393765120).

368120288 is an abundant number, since it is smaller than the sum of its proper divisors (419409952).

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

368120288 is a wasteful number, since it uses less digits than its factorization.

368120288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19591 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 368120288 is about 19186.4610598203. The cubic root of 368120288 is about 716.6876449841.

The spelling of 368120288 in words is "three hundred sixty-eight million, one hundred twenty thousand, two hundred eighty-eight".