428076100 has 27 divisors (see below), whose sum is σ = 929374327. Its totient is φ = 171147680.

The previous prime is 428076083. The next prime is 428076107. The reversal of 428076100 is 1670824.

The square root of 428076100 is 20690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 105801796 + 322274304 = 10286^2 + 17952^2 .

It is a super-3 number, since 3×428076100³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428076107) 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 8 ways as a sum of consecutive naturals, for example, 205866 + ... + 207934.

Almost surely, 2^428076100 is an apocalyptic number.

428076100 is the 20690-th square number.

It is an amenable number.

428076100 is an abundant number, since it is smaller than the sum of its proper divisors (501298227).

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

428076100 is an equidigital number, since it uses as much as digits as its factorization.

428076100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 428076100 is about 753.6568667147.

The spelling of 428076100 in words is "four hundred twenty-eight million, seventy-six thousand, one hundred".