428525872434 has 96 divisors (see below), whose sum is σ = 1067282611200. Its totient is φ = 122895571680.

The previous prime is 428525872417. The next prime is 428525872451. The reversal of 428525872434 is 434278525824.

428525872434 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 2 + 587 + 24 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (428525872417) and next prime (428525872451).

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, 3640107 + ... + 3755985.

It is an arithmetic number, because the mean of its divisors is an integer number (11117527200).

Almost surely, 2^428525872434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428525872434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533641305600).

428525872434 is an abundant number, since it is smaller than the sum of its proper divisors (638756738766).

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

428525872434 is a wasteful number, since it uses less digits than its factorization.

428525872434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116900 (or 116897 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 428525872434 in words is "four hundred twenty-eight billion, five hundred twenty-five million, eight hundred seventy-two thousand, four hundred thirty-four".