8028563625 has 48 divisors (see below), whose sum is σ = 14825904912. Its totient is φ = 4177440000.

The previous prime is 8028563603. The next prime is 8028563651. The reversal of 8028563625 is 5263658208.

8028563625 is a `hidden beast` number, since 8 + 0 + 2 + 8 + 5 + 636 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5039864064 + 2988699561 = 70992^2 + 54669^2 .

It is not a de Polignac number, because 8028563625 - 2¹⁰ = 8028562601 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40906 + ... + 133155.

It is an arithmetic number, because the mean of its divisors is an integer number (308873019).

Almost surely, 2^8028563625 is an apocalyptic number.

It is an amenable number.

8028563625 is a deficient number, since it is larger than the sum of its proper divisors (6797341287).

8028563625 is a wasteful number, since it uses less digits than its factorization.

8028563625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174123 (or 174110 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8028563625 is about 89602.2523433424. The cubic root of 8028563625 is about 2002.3774747703.

The spelling of 8028563625 in words is "eight billion, twenty-eight million, five hundred sixty-three thousand, six hundred twenty-five".