1328406408 has 48 divisors (see below), whose sum is σ = 4111735680. Its totient is φ = 379544544.

The previous prime is 1328406403. The next prime is 1328406421. The reversal of 1328406408 is 8046048231.

1328406408 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 0 + 640 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1328406403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317360 + ... + 1318367.

It is an arithmetic number, because the mean of its divisors is an integer number (85661160).

Almost surely, 2^1328406408 is an apocalyptic number.

1328406408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1328406408 is an abundant number, since it is smaller than the sum of its proper divisors (2783329272).

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

1328406408 is a wasteful number, since it uses less digits than its factorization.

1328406408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635746 (or 2635739 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1328406408 is about 36447.3100241979. The cubic root of 1328406408 is about 1099.2850472578.

The spelling of 1328406408 in words is "one billion, three hundred twenty-eight million, four hundred six thousand, four hundred eight".