1406738328 has 64 divisors (see below), whose sum is σ = 3675248640. Its totient is φ = 447853824.

The previous prime is 1406738323. The next prime is 1406738339. The reversal of 1406738328 is 8238376041.

It is a self number, because there is not a number n which added to its sum of digits gives 1406738328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406738323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474900 + ... + 477852.

It is an arithmetic number, because the mean of its divisors is an integer number (57425760).

Almost surely, 2^1406738328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406738328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837624320).

1406738328 is an abundant number, since it is smaller than the sum of its proper divisors (2268510312).

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

1406738328 is a wasteful number, since it uses less digits than its factorization.

1406738328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1406738328 is about 37506.5104748496. The cubic root of 1406738328 is about 1120.4808543226.

The spelling of 1406738328 in words is "one billion, four hundred six million, seven hundred thirty-eight thousand, three hundred twenty-eight".