328900824 has 160 divisors (see below), whose sum is σ = 1087257600. Its totient is φ = 90901440.

The previous prime is 328900823. The next prime is 328900829. The reversal of 328900824 is 428009823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328900823) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 139447 + ... + 141785.

It is an arithmetic number, because the mean of its divisors is an integer number (6795360).

Almost surely, 2^328900824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328900824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543628800).

328900824 is an abundant number, since it is smaller than the sum of its proper divisors (758356776).

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

328900824 is a wasteful number, since it uses less digits than its factorization.

328900824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 328900824 is about 18135.6230662197. The cubic root of 328900824 is about 690.2742199275.

The spelling of 328900824 in words is "three hundred twenty-eight million, nine hundred thousand, eight hundred twenty-four".