368003328 has 288 divisors, whose sum is σ = 1255833600. Its totient is φ = 94832640.

The previous prime is 368003291. The next prime is 368003401. The reversal of 368003328 is 823300863.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2897601 + ... + 2897727.

Almost surely, 2^368003328 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 368003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916800).

368003328 is an abundant number, since it is smaller than the sum of its proper divisors (887830272).

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

368003328 is a wasteful number, since it uses less digits than its factorization.

368003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 368003328 is about 19183.4128350510. The cubic root of 368003328 is about 716.6117344110.

The spelling of 368003328 in words is "three hundred sixty-eight million, three thousand, three hundred twenty-eight".