328762368 has 352 divisors, whose sum is σ = 1131909120. Its totient is φ = 93265920.

The previous prime is 328762363. The next prime is 328762403. The reversal of 328762368 is 863267823.

328762368 is a `hidden beast` number, since 3 + 287 + 6 + 2 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×328762368² = 216169389225934848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328762363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6994921 + ... + 6994967.

Almost surely, 2^328762368 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 328762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565954560).

328762368 is an abundant number, since it is smaller than the sum of its proper divisors (803146752).

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

328762368 is a wasteful number, since it uses less digits than its factorization.

328762368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 328762368 is about 18131.8054258256. The cubic root of 328762368 is about 690.1773457186.

The spelling of 328762368 in words is "three hundred twenty-eight million, seven hundred sixty-two thousand, three hundred sixty-eight".