368861328 has 120 divisors (see below), whose sum is σ = 1131121056. Its totient is φ = 111283200.

The previous prime is 368861321. The next prime is 368861329. The reversal of 368861328 is 823168863.

368861328 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 613 + 28 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (368861321) 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 23 ways as a sum of consecutive naturals, for example, 533463 + ... + 534153.

Almost surely, 2^368861328 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 368861328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565560528).

368861328 is an abundant number, since it is smaller than the sum of its proper divisors (762259728).

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

368861328 is a wasteful number, since it uses less digits than its factorization.

368861328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 368861328 is about 19205.7628851342. The cubic root of 368861328 is about 717.1682290549.

The spelling of 368861328 in words is "three hundred sixty-eight million, eight hundred sixty-one thousand, three hundred twenty-eight".