328949280 has 288 divisors, whose sum is σ = 1290219840. Its totient is φ = 75479040.

The previous prime is 328949279. The next prime is 328949281. The reversal of 328949280 is 82949823.

328949280 is a `hidden beast` number, since 3 + 2 + 89 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (328949279) and next prime (328949281).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (328949281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300414 + ... + 301506.

It is an arithmetic number, because the mean of its divisors is an integer number (4479930).

Almost surely, 2^328949280 is an apocalyptic number.

328949280 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 328949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645109920).

328949280 is an abundant number, since it is smaller than the sum of its proper divisors (961270560).

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

328949280 is a wasteful number, since it uses less digits than its factorization.

328949280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 328949280 is about 18136.9589512685. The cubic root of 328949280 is about 690.3081169594.

The spelling of 328949280 in words is "three hundred twenty-eight million, nine hundred forty-nine thousand, two hundred eighty".