1328792640 has 224 divisors, whose sum is σ = 4884602880. Its totient is φ = 299759616.

The previous prime is 1328792623. The next prime is 1328792659. The reversal of 1328792640 is 462978231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1328792592 and 1328792601.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 529629 + ... + 532131.

Almost surely, 2^1328792640 is an apocalyptic number.

1328792640 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 1328792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442301440).

1328792640 is an abundant number, since it is smaller than the sum of its proper divisors (3555810240).

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

1328792640 is a wasteful number, since it uses less digits than its factorization.

1328792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1328792640 is about 36452.6081371416. The cubic root of 1328792640 is about 1099.3915753800.

The spelling of 1328792640 in words is "one billion, three hundred twenty-eight million, seven hundred ninety-two thousand, six hundred forty".