328078080 has 288 divisors, whose sum is σ = 1271531520. Its totient is φ = 79441920.

The previous prime is 328078063. The next prime is 328078081. The reversal of 328078080 is 80870823.

328078080 = 133² + 134² + ... + 995².

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (328078081) 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, 379729 + ... + 380591.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^328078080 is an apocalyptic number.

328078080 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 328078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635765760).

328078080 is an abundant number, since it is smaller than the sum of its proper divisors (943453440).

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

328078080 is a wasteful number, since it uses less digits than its factorization.

328078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 328078080 is about 18112.9257713932. The cubic root of 328078080 is about 689.6981666621.

The spelling of 328078080 in words is "three hundred twenty-eight million, seventy-eight thousand, eighty".