328372400 has 60 divisors (see below), whose sum is σ = 790772304. Its totient is φ = 131040000.

The previous prime is 328372397. The next prime is 328372411. The reversal of 328372400 is 4273823.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251750 + ... + 253050.

Almost surely, 2^328372400 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 328372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395386152).

328372400 is an abundant number, since it is smaller than the sum of its proper divisors (462399904).

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

328372400 is a wasteful number, since it uses less digits than its factorization.

328372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 328372400 is about 18121.0485347841. The cubic root of 328372400 is about 689.9043485697.

The spelling of 328372400 in words is "three hundred twenty-eight million, three hundred seventy-two thousand, four hundred".