6428685825 has 96 divisors (see below), whose sum is σ = 12060835200. Its totient is φ = 3356559360.

The previous prime is 6428685811. The next prime is 6428685833. The reversal of 6428685825 is 5285868246.

It is a happy number.

It is not a de Polignac number, because 6428685825 - 2¹¹ = 6428683777 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 6788002 + ... + 6788948.

It is an arithmetic number, because the mean of its divisors is an integer number (125633700).

Almost surely, 2^6428685825 is an apocalyptic number.

It is an amenable number.

6428685825 is a deficient number, since it is larger than the sum of its proper divisors (5632149375).

6428685825 is a wasteful number, since it uses less digits than its factorization.

6428685825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 6428685825 is about 80179.0859576236. The cubic root of 6428685825 is about 1859.4053119649.

The spelling of 6428685825 in words is "six billion, four hundred twenty-eight million, six hundred eighty-five thousand, eight hundred twenty-five".