428835456 has 288 divisors, whose sum is σ = 1469314080. Its totient is φ = 119669760.

The previous prime is 428835427. The next prime is 428835457. The reversal of 428835456 is 654538824.

428835456 is a `hidden beast` number, since 4 + 28 + 83 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (428835457) 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 35 ways as a sum of consecutive naturals, for example, 4007755 + ... + 4007861.

It is an arithmetic number, because the mean of its divisors is an integer number (5101785).

Almost surely, 2^428835456 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 428835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734657040).

428835456 is an abundant number, since it is smaller than the sum of its proper divisors (1040478624).

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

428835456 is a wasteful number, since it uses less digits than its factorization.

428835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 428835456 is about 20708.3426666646. The cubic root of 428835456 is about 754.1022359711.

The spelling of 428835456 in words is "four hundred twenty-eight million, eight hundred thirty-five thousand, four hundred fifty-six".