328523040 has 120 divisors (see below), whose sum is σ = 1159458300. Its totient is φ = 87602688.

The previous prime is 328523017. The next prime is 328523059. The reversal of 328523040 is 40325823.

It can be written as a sum of positive squares in 2 ways, for example, as 322705296 + 5817744 = 17964^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 328522995 and 328523013.

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 19 ways as a sum of consecutive naturals, for example, 286 + ... + 25634.

Almost surely, 2^328523040 is an apocalyptic number.

328523040 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 328523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579729150).

328523040 is an abundant number, since it is smaller than the sum of its proper divisors (830935260).

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

328523040 is a wasteful number, since it uses less digits than its factorization.

328523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376 (or 25359 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 328523040 is about 18125.2045505699. The cubic root of 328523040 is about 690.0098297276.

Adding to 328523040 its reverse (40325823), we get a palindrome (368848863).

The spelling of 328523040 in words is "three hundred twenty-eight million, five hundred twenty-three thousand, forty".