328161540 has 384 divisors, whose sum is σ = 1219276800. Its totient is φ = 64143360.

The previous prime is 328161529. The next prime is 328161577. The reversal of 328161540 is 45161823.

328161540 = 308² + 309² + ... + 1004².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 328161498 and 328161507.

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 127 ways as a sum of consecutive naturals, for example, 5562031 + ... + 5562089.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^328161540 is an apocalyptic number.

328161540 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 328161540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

328161540 is an abundant number, since it is smaller than the sum of its proper divisors (891115260).

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

328161540 is a wasteful number, since it uses less digits than its factorization.

328161540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 328161540 is about 18115.2295044805. The cubic root of 328161540 is about 689.7566459613.

The spelling of 328161540 in words is "three hundred twenty-eight million, one hundred sixty-one thousand, five hundred forty".