1328406420 has 96 divisors (see below), whose sum is σ = 4188635136. Its totient is φ = 311644800.

The previous prime is 1328406403. The next prime is 1328406421. The reversal of 1328406420 is 246048231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328406421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12004 + ... + 52923.

It is an arithmetic number, because the mean of its divisors is an integer number (43631616).

Almost surely, 2^1328406420 is an apocalyptic number.

1328406420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328406420 is an abundant number, since it is smaller than the sum of its proper divisors (2860228716).

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

1328406420 is a wasteful number, since it uses less digits than its factorization.

1328406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64981 (or 64979 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1328406420 is about 36447.3101888191. The cubic root of 1328406420 is about 1099.2850505679.

The spelling of 1328406420 in words is "one billion, three hundred twenty-eight million, four hundred six thousand, four hundred twenty".