328013504 has 112 divisors (see below), whose sum is σ = 848490048. Its totient is φ = 122093568.

The previous prime is 328013467. The next prime is 328013507. The reversal of 328013504 is 405310823.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 328013504 = 200³ + 684³ = 501³ + 587³.

It is not an unprimeable number, because it can be changed into a prime (328013507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97352 + ... + 100664.

It is an arithmetic number, because the mean of its divisors is an integer number (7575804).

Almost surely, 2^328013504 is an apocalyptic number.

328013504 is a gapful number since it is divisible by the number (34) 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 328013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424245024).

328013504 is an abundant number, since it is smaller than the sum of its proper divisors (520476544).

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

328013504 is a wasteful number, since it uses less digits than its factorization.

328013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 328013504 is about 18111.1430892697. The cubic root of 328013504 is about 689.6529123218.

The spelling of 328013504 in words is "three hundred twenty-eight million, thirteen thousand, five hundred four".