1328343840 has 384 divisors, whose sum is σ = 5029516800. Its totient is φ = 326430720.

The previous prime is 1328343839. The next prime is 1328343853. The reversal of 1328343840 is 483438231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1328343795 and 1328343804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881210 + ... + 2881670.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2^1328343840 is an apocalyptic number.

1328343840 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 1328343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

1328343840 is an abundant number, since it is smaller than the sum of its proper divisors (3701172960).

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

1328343840 is a wasteful number, since it uses less digits than its factorization.

1328343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1328343840 is about 36446.4516791416. The cubic root of 1328343840 is about 1099.2677881956.

The spelling of 1328343840 in words is "one billion, three hundred twenty-eight million, three hundred forty-three thousand, eight hundred forty".