1328496000 has 256 divisors, whose sum is σ = 4744958400. Its totient is φ = 326860800.

The previous prime is 1328495999. The next prime is 1328496011. The reversal of 1328496000 is 6948231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622936 + ... + 625064.

Almost surely, 2^1328496000 is an apocalyptic number.

1328496000 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 1328496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372479200).

1328496000 is an abundant number, since it is smaller than the sum of its proper divisors (3416462400).

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

1328496000 is a wasteful number, since it uses less digits than its factorization.

1328496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1328496000 is about 36448.5390653727. The cubic root of 1328496000 is about 1099.3097598085.

The spelling of 1328496000 in words is "one billion, three hundred twenty-eight million, four hundred ninety-six thousand".