328028400 has 240 divisors, whose sum is σ = 1334636800. Its totient is φ = 74960640.

The previous prime is 328028387. The next prime is 328028401. The reversal of 328028400 is 4820823.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328028401) 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 47 ways as a sum of consecutive naturals, for example, 73431 + ... + 77769.

Almost surely, 2^328028400 is an apocalyptic number.

328028400 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 328028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667318400).

328028400 is an abundant number, since it is smaller than the sum of its proper divisors (1006608400).

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

328028400 is a wasteful number, since it uses less digits than its factorization.

328028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 328028400 is about 18111.5543231386. The cubic root of 328028400 is about 689.6633518455.

The spelling of 328028400 in words is "three hundred twenty-eight million, twenty-eight thousand, four hundred".