428481072 has 60 divisors (see below), whose sum is σ = 1210402440. Its totient is φ = 141487104.

The previous prime is 428481043. The next prime is 428481077. The reversal of 428481072 is 270184824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428481077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504 + ... + 29312.

It is an arithmetic number, because the mean of its divisors is an integer number (20173374).

Almost surely, 2^428481072 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 428481072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605201220).

428481072 is an abundant number, since it is smaller than the sum of its proper divisors (781921368).

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

428481072 is a wasteful number, since it uses less digits than its factorization.

428481072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27921 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 428481072 is about 20699.7843467027. The cubic root of 428481072 is about 753.8944519894.

The spelling of 428481072 in words is "four hundred twenty-eight million, four hundred eighty-one thousand, seventy-two".