428284288 has 32 divisors (see below), whose sum is σ = 890325360. Its totient is φ = 204830208.

The previous prime is 428284277. The next prime is 428284289. The reversal of 428284288 is 882482824.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428284289) 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 3 ways as a sum of consecutive naturals, for example, 69795 + ... + 75682.

Almost surely, 2^428284288 is an apocalyptic number.

It is an amenable number.

428284288 is an abundant number, since it is smaller than the sum of its proper divisors (462041072).

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

428284288 is a wasteful number, since it uses less digits than its factorization.

428284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145514 (or 145502 counting only the distinct ones).

The product of its digits is 524288, while the sum is 46.

The square root of 428284288 is about 20695.0305145946. The cubic root of 428284288 is about 753.7790232557.

The spelling of 428284288 in words is "four hundred twenty-eight million, two hundred eighty-four thousand, two hundred eighty-eight".