328824180 has 144 divisors (see below), whose sum is σ = 1036985040. Its totient is φ = 84271104.

The previous prime is 328824179. The next prime is 328824187. The reversal of 328824180 is 81428823.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28772496 + 300051684 = 5364^2 + 17322^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328824187) 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, 645766 + ... + 646274.

It is an arithmetic number, because the mean of its divisors is an integer number (7201285).

Almost surely, 2^328824180 is an apocalyptic number.

328824180 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 328824180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518492520).

328824180 is an abundant number, since it is smaller than the sum of its proper divisors (708160860).

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

328824180 is a wasteful number, since it uses less digits than its factorization.

328824180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 328824180 is about 18133.5098643368. The cubic root of 328824180 is about 690.2205973930.

The spelling of 328824180 in words is "three hundred twenty-eight million, eight hundred twenty-four thousand, one hundred eighty".