368828320 has 96 divisors (see below), whose sum is σ = 1004064768. Its totient is φ = 125411328.

The previous prime is 368828309. The next prime is 368828347. The reversal of 368828320 is 23828863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140944 + ... + 143536.

It is an arithmetic number, because the mean of its divisors is an integer number (10459008).

Almost surely, 2^368828320 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 368828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502032384).

368828320 is an abundant number, since it is smaller than the sum of its proper divisors (635236448).

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

368828320 is a wasteful number, since it uses less digits than its factorization.

368828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 368828320 is about 19204.9035405024. The cubic root of 368828320 is about 717.1468361959.

The spelling of 368828320 in words is "three hundred sixty-eight million, eight hundred twenty-eight thousand, three hundred twenty".