428870144 has 80 divisors (see below), whose sum is σ = 907441920. Its totient is φ = 202076160.

The previous prime is 428870137. The next prime is 428870153. The reversal of 428870144 is 441078824.

It is a happy number.

Together with 478571775 it forms a betrothed pair.

It is a junction number, because it is equal to n+sod(n) for n = 428870098 and 428870107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930074 + ... + 930534.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^428870144 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 428870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

428870144 is an abundant number, since it is smaller than the sum of its proper divisors (478571776).

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

428870144 is an equidigital number, since it uses as much as digits as its factorization.

428870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 428870144 is about 20709.1801865743. The cubic root of 428870144 is about 754.1225682398.

The spelling of 428870144 in words is "four hundred twenty-eight million, eight hundred seventy thousand, one hundred forty-four".