328124832 has 192 divisors, whose sum is σ = 1070899200. Its totient is φ = 85847040.

The previous prime is 328124807. The next prime is 328124857. The reversal of 328124832 is 238421823.

It is an interprime number because it is at equal distance from previous prime (328124807) and next prime (328124857).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 328124793 and 328124802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395394 + ... + 396222.

It is an arithmetic number, because the mean of its divisors is an integer number (5577600).

Almost surely, 2^328124832 is an apocalyptic number.

328124832 is a gapful number since it is divisible by the number (32) 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 328124832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535449600).

328124832 is an abundant number, since it is smaller than the sum of its proper divisors (742774368).

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

328124832 is a wasteful number, since it uses less digits than its factorization.

328124832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 328124832 is about 18114.2162954956. The cubic root of 328124832 is about 689.7309263812.

The spelling of 328124832 in words is "three hundred twenty-eight million, one hundred twenty-four thousand, eight hundred thirty-two".