368006328 has 80 divisors (see below), whose sum is σ = 1037860560. Its totient is φ = 121824000.

The previous prime is 368006323. The next prime is 368006357. The reversal of 368006328 is 823600863.

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

It is a junction number, because it is equal to n+sod(n) for n = 368006292 and 368006301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368006321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95968 + ... + 99728.

It is an arithmetic number, because the mean of its divisors is an integer number (12973257).

Almost surely, 2^368006328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368006328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518930280).

368006328 is an abundant number, since it is smaller than the sum of its proper divisors (669854232).

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

368006328 is a wasteful number, since it uses less digits than its factorization.

368006328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 368006328 is about 19183.4910274434. The cubic root of 368006328 is about 716.6136817026.

The spelling of 368006328 in words is "three hundred sixty-eight million, six thousand, three hundred twenty-eight".