428525686525824 has 96 divisors (see below), whose sum is σ = 1256393854099800. Its totient is φ = 140146765384704.

The previous prime is 428525686525819. The next prime is 428525686525829.

428525686525824 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 2 + 568 + 6 + 5 + 2 + 58 + 2 + 4 = 666.

428525686525824 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (428525686525819) and next prime (428525686525829).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428525686525829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3509222934 + ... + 3509345045.

Almost surely, 2^{428525686525824} is an apocalyptic number.

It is an amenable number.

428525686525824 is an abundant number, since it is smaller than the sum of its proper divisors (827868167573976).

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

428525686525824 is a wasteful number, since it uses less digits than its factorization.

428525686525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018568052 (or 7018568037 counting only the distinct ones).

The product of its digits is 2949120000, while the sum is 72.

The spelling of 428525686525824 in words is "four hundred twenty-eight trillion, five hundred twenty-five billion, six hundred eighty-six million, five hundred twenty-five thousand, eight hundred twenty-four".