428026600 has 48 divisors (see below), whose sum is σ = 997614720. Its totient is φ = 170788800.

The previous prime is 428026597. The next prime is 428026673. The reversal of 428026600 is 6620824.

It is an unprimeable number.

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, 86185 + ... + 91015.

It is an arithmetic number, because the mean of its divisors is an integer number (20783640).

Almost surely, 2^428026600 is an apocalyptic number.

428026600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428026600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498807360).

428026600 is an abundant number, since it is smaller than the sum of its proper divisors (569588120).

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

428026600 is a wasteful number, since it uses less digits than its factorization.

428026600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 428026600 is about 20688.8037353541. The cubic root of 428026600 is about 753.6278162313.

The spelling of 428026600 in words is "four hundred twenty-eight million, twenty-six thousand, six hundred".