3928578646825 has 36 divisors (see below), whose sum is σ = 5666987040732. Its totient is φ = 2693781350400.

The previous prime is 3928578646789. The next prime is 3928578646963. The reversal of 3928578646825 is 5286468758293.

It can be written as a sum of positive squares in 6 ways, for example, as 946729 + 3928577700096 = 973^2 + 1982064^2 .

It is not a de Polignac number, because 3928578646825 - 2¹⁷ = 3928578515753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 48666897 + ... + 48747553.

It is an arithmetic number, because the mean of its divisors is an integer number (157416306687).

Almost surely, 2^{3928578646825} is an apocalyptic number.

3928578646825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3928578646825 is a deficient number, since it is larger than the sum of its proper divisors (1738408393907).

3928578646825 is a wasteful number, since it uses less digits than its factorization.

3928578646825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120442 (or 120430 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 73.

The spelling of 3928578646825 in words is "three trillion, nine hundred twenty-eight billion, five hundred seventy-eight million, six hundred forty-six thousand, eight hundred twenty-five".