428890600 has 48 divisors (see below), whose sum is σ = 1020381120. Its totient is φ = 167563200.

The previous prime is 428890597. The next prime is 428890607. The reversal of 428890600 is 6098824.

It is a self number, because there is not a number n which added to its sum of digits gives 428890600.

It is not an unprimeable number, because it can be changed into a prime (428890607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16336 + ... + 33535.

It is an arithmetic number, because the mean of its divisors is an integer number (21257940).

Almost surely, 2^428890600 is an apocalyptic number.

428890600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428890600 is an abundant number, since it is smaller than the sum of its proper divisors (591490520).

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

428890600 is a wasteful number, since it uses less digits than its factorization.

428890600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49930 (or 49921 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 428890600 is about 20709.6740679326. The cubic root of 428890600 is about 754.1345579498.

The spelling of 428890600 in words is "four hundred twenty-eight million, eight hundred ninety thousand, six hundred".