428456328 has 64 divisors (see below), whose sum is σ = 1128124800. Its totient is φ = 135336960.

The previous prime is 428456323. The next prime is 428456359. The reversal of 428456328 is 823654824.

It is a self number, because there is not a number n which added to its sum of digits gives 428456328.

It is not an unprimeable number, because it can be changed into a prime (428456323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56608 + ... + 63728.

It is an arithmetic number, because the mean of its divisors is an integer number (17626950).

Almost surely, 2^428456328 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 428456328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564062400).

428456328 is an abundant number, since it is smaller than the sum of its proper divisors (699668472).

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

428456328 is a wasteful number, since it uses less digits than its factorization.

428456328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7258 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 428456328 is about 20699.1866506875. The cubic root of 428456328 is about 753.8799397004.

The spelling of 428456328 in words is "four hundred twenty-eight million, four hundred fifty-six thousand, three hundred twenty-eight".