428031072 has 180 divisors, whose sum is σ = 1422291780. Its totient is φ = 122097024.

The previous prime is 428031067. The next prime is 428031077. The reversal of 428031072 is 270130824.

428031072 is a `hidden beast` number, since 4 + 280 + 310 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (428031067) and next prime (428031077).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428031077) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691179 + ... + 691797.

It is an arithmetic number, because the mean of its divisors is an integer number (7901621).

Almost surely, 2^428031072 is an apocalyptic number.

428031072 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 428031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711145890).

428031072 is an abundant number, since it is smaller than the sum of its proper divisors (994260708).

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

428031072 is an equidigital number, since it uses as much as digits as its factorization.

428031072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428031072 is about 20688.9118128528. The cubic root of 428031072 is about 753.6304408437.

Adding to 428031072 its reverse (270130824), we get a palindrome (698161896).

The spelling of 428031072 in words is "four hundred twenty-eight million, thirty-one thousand, seventy-two".