328753152 has 336 divisors, whose sum is σ = 1192682400. Its totient is φ = 86704128.

The previous prime is 328753151. The next prime is 328753163. The reversal of 328753152 is 251357823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (50400) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328753151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25288698 + ... + 25288710.

It is an arithmetic number, because the mean of its divisors is an integer number (3549650).

Almost surely, 2^328753152 is an apocalyptic number.

328753152 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 328753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596341200).

328753152 is an abundant number, since it is smaller than the sum of its proper divisors (863929248).

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

328753152 is an equidigital number, since it uses as much as digits as its factorization.

328753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 328753152 is about 18131.5512849839. The cubic root of 328753152 is about 690.1708965479.

The spelling of 328753152 in words is "three hundred twenty-eight million, seven hundred fifty-three thousand, one hundred fifty-two".