1328693760 has 320 divisors, whose sum is σ = 4831833600. Its totient is φ = 345931776.

The previous prime is 1328693753. The next prime is 1328693767. The reversal of 1328693760 is 673968231.

It is an interprime number because it is at equal distance from previous prime (1328693753) and next prime (1328693767).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1328693767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248436 + ... + 3248844.

It is an arithmetic number, because the mean of its divisors is an integer number (15099480).

Almost surely, 2^1328693760 is an apocalyptic number.

1328693760 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 1328693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415916800).

1328693760 is an abundant number, since it is smaller than the sum of its proper divisors (3503139840).

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

1328693760 is an equidigital number, since it uses as much as digits as its factorization.

1328693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1328693760 is about 36451.2518303556. The cubic root of 1328693760 is about 1099.3643048759.

The spelling of 1328693760 in words is "one billion, three hundred twenty-eight million, six hundred ninety-three thousand, seven hundred sixty".