1328480000 has 270 divisors, whose sum is σ = 3649288104. Its totient is φ = 481536000.

The previous prime is 1328479987. The next prime is 1328480003. The reversal of 1328480000 is 848231.

It is a super-2 number, since 2×1328480000² = 3529718220800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328480003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 57759989 + ... + 57760011.

Almost surely, 2^1328480000 is an apocalyptic number.

1328480000 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 1328480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824644052).

1328480000 is an abundant number, since it is smaller than the sum of its proper divisors (2320808104).

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

1328480000 is an frugal number, since it uses more digits than its factorization.

1328480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1328480000 is about 36448.3195771767. The cubic root of 1328480000 is about 1099.3053465405.

The spelling of 1328480000 in words is "one billion, three hundred twenty-eight million, four hundred eighty thousand".