428625576072 has 128 divisors (see below), whose sum is σ = 1207200153600. Its totient is φ = 140899881024.

The previous prime is 428625576059. The next prime is 428625576103. The reversal of 428625576072 is 270675526824.

428625576072 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 25 + 5 + 7 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4534363 + ... + 4627925.

It is an arithmetic number, because the mean of its divisors is an integer number (9431251200).

Almost surely, 2^428625576072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428625576072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603600076800).

428625576072 is an abundant number, since it is smaller than the sum of its proper divisors (778574577528).

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

428625576072 is a wasteful number, since it uses less digits than its factorization.

428625576072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93872 (or 93862 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 428625576072 in words is "four hundred twenty-eight billion, six hundred twenty-five million, five hundred seventy-six thousand, seventy-two".