328613760 has 192 divisors, whose sum is σ = 1177328880. Its totient is φ = 87588864.

The previous prime is 328613741. The next prime is 328613777. The reversal of 328613760 is 67316823.

It is a happy number.

328613760 is a `hidden beast` number, since 3 + 286 + 1 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×328613760² = 215974006522675200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154464 + ... + 156576.

Almost surely, 2^328613760 is an apocalyptic number.

328613760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588664440).

328613760 is an abundant number, since it is smaller than the sum of its proper divisors (848715120).

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

328613760 is an equidigital number, since it uses as much as digits as its factorization.

328613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 328613760 is about 18127.7069702707. The cubic root of 328613760 is about 690.0733381405.

The spelling of 328613760 in words is "three hundred twenty-eight million, six hundred thirteen thousand, seven hundred sixty".