10456893728 has 18 divisors (see below), whose sum is σ = 20588148441. Its totient is φ = 5228157632.

The previous prime is 10456893691. The next prime is 10456893731. The reversal of 10456893728 is 82739865401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6910929424 + 3545964304 = 83132^2 + 59548^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=72308.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10456893728.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 569426 + ... + 587502.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10456893728 = 20913787456, but 3⋅10456893728 = 31370681184 is not.

Almost surely, 2^10456893728 is an apocalyptic number.

It is an amenable number.

10456893728 is a deficient number, since it is larger than the sum of its proper divisors (10131254713).

10456893728 is an frugal number, since it uses more digits than its factorization.

10456893728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36164 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 10456893728 in words is "ten billion, four hundred fifty-six million, eight hundred ninety-three thousand, seven hundred twenty-eight".