428585824044672 has 512 divisors, whose sum is σ = 1342839969300480. Its totient is φ = 118554505445376.

The previous prime is 428585824044671. The next prime is 428585824044683. The reversal of 428585824044672 is 276440428585824.

It is a super-2 number, since 2×428585824044672² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428585824044597 and 428585824044606.

It is not an unprimeable number, because it can be changed into a prime (428585824044671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81994606923 + ... + 81994612149.

It is an arithmetic number, because the mean of its divisors is an integer number (2622734315040).

Almost surely, 2^{428585824044672} is an apocalyptic number.

428585824044672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428585824044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671419984650240).

428585824044672 is an abundant number, since it is smaller than the sum of its proper divisors (914254145255808).

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

428585824044672 is a wasteful number, since it uses less digits than its factorization.

428585824044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 1101004800, while the sum is 69.

The spelling of 428585824044672 in words is "four hundred twenty-eight trillion, five hundred eighty-five billion, eight hundred twenty-four million, forty-four thousand, six hundred seventy-two".