1324928000 has 176 divisors, whose sum is σ = 3609728928. Its totient is φ = 481280000.

The previous prime is 1324927993. The next prime is 1324928009. The reversal of 1324928000 is 8294231.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (1324928009) 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 15 ways as a sum of consecutive naturals, for example, 1407530 + ... + 1408470.

Almost surely, 2^1324928000 is an apocalyptic number.

1324928000 is a gapful number since it is divisible by the number (10) 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 1324928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804864464).

1324928000 is an abundant number, since it is smaller than the sum of its proper divisors (2284800928).

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

1324928000 is an equidigital number, since it uses as much as digits as its factorization.

1324928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1324928000 is about 36399.5604369064. The cubic root of 1324928000 is about 1098.3247226095.

The spelling of 1324928000 in words is "one billion, three hundred twenty-four million, nine hundred twenty-eight thousand".