428306688 has 54 divisors (see below), whose sum is σ = 1234920414. Its totient is φ = 142768128.

The previous prime is 428306647. The next prime is 428306689. The reversal of 428306688 is 886603824.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 325730304 + 102576384 = 18048^2 + 10128^2 .

It is not an unprimeable number, because it can be changed into a prime (428306689) 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 5 ways as a sum of consecutive naturals, for example, 90645 + ... + 95252.

Almost surely, 2^428306688 is an apocalyptic number.

428306688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428306688 is an abundant number, since it is smaller than the sum of its proper divisors (806613726).

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

428306688 is a wasteful number, since it uses less digits than its factorization.

428306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185919 (or 185902 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 428306688 is about 20695.5717002454. The cubic root of 428306688 is about 753.7921643369.

The spelling of 428306688 in words is "four hundred twenty-eight million, three hundred six thousand, six hundred eighty-eight".