1456428768 has 48 divisors (see below), whose sum is σ = 3829343616. Its totient is φ = 484686720.

The previous prime is 1456428737. The next prime is 1456428803. The reversal of 1456428768 is 8678246541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1456428768.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48555 + ... + 72597.

It is an arithmetic number, because the mean of its divisors is an integer number (79777992).

Almost surely, 2^1456428768 is an apocalyptic number.

It is an amenable number.

1456428768 is an abundant number, since it is smaller than the sum of its proper divisors (2372914848).

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

1456428768 is a wasteful number, since it uses less digits than its factorization.

1456428768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24687 (or 24679 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 1456428768 is about 38163.1860305190. The cubic root of 1456428768 is about 1133.5214675760.

The spelling of 1456428768 in words is "one billion, four hundred fifty-six million, four hundred twenty-eight thousand, seven hundred sixty-eight".