428128100 has 36 divisors (see below), whose sum is σ = 930125364. Its totient is φ = 171050880.

The previous prime is 428128091. The next prime is 428128133. The reversal of 428128100 is 1821824.

It can be written as a sum of positive squares in 6 ways, for example, as 52388644 + 375739456 = 7238^2 + 19384^2 .

It is a super-2 number, since 2×428128100² = 366587340019220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428128100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107342 + ... + 111258.

Almost surely, 2^428128100 is an apocalyptic number.

It is an amenable number.

428128100 is an abundant number, since it is smaller than the sum of its proper divisors (501997264).

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

428128100 is a wasteful number, since it uses less digits than its factorization.

428128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 428128100 is about 20691.2566075625. The cubic root of 428128100 is about 753.6873819824.

Adding to 428128100 its reverse (1821824), we get a palindrome (429949924).

The spelling of 428128100 in words is "four hundred twenty-eight million, one hundred twenty-eight thousand, one hundred".