428217444 has 18 divisors (see below), whose sum is σ = 1082438630. Its totient is φ = 142739136.

The previous prime is 428217431. The next prime is 428217467. The reversal of 428217444 is 444712824.

It can be written as a sum of positive squares in only one way, i.e., 277222500 + 150994944 = 16650^2 + 12288^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11894929 = 428217444 / (4 + 2 + 8 + 2 + 1 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 428217399 and 428217408.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5947429 + ... + 5947500.

Almost surely, 2^428217444 is an apocalyptic number.

It is an amenable number.

428217444 is an abundant number, since it is smaller than the sum of its proper divisors (654221186).

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

428217444 is a wasteful number, since it uses less digits than its factorization.

428217444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894939 (or 11894934 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 428217444 is about 20693.4154744933. The cubic root of 428217444 is about 753.7398061376.

The spelling of 428217444 in words is "four hundred twenty-eight million, two hundred seventeen thousand, four hundred forty-four".