428100 has 36 divisors (see below), whose sum is σ = 1239504. Its totient is φ = 114080.

The previous prime is 428093. The next prime is 428137. The reversal of 428100 is 1824.

It is a super-2 number, since 2×428100² = 366539220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 428100.

It is an unprimeable number.

428100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 1013.

2⁴²⁸¹⁰⁰ is an apocalyptic number.

It is an amenable number.

428100 is an abundant number, since it is smaller than the sum of its proper divisors (811404).

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

428100 is a wasteful number, since it uses less digits than its factorization.

428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 428100 is about 654.2935121182. The cubic root of 428100 is about 75.3670892308.

Adding to 428100 its reverse (1824), we get a palindrome (429924).

It can be divided in two parts, 428 and 100, that added together give a triangular number (528 = T₃₂).

The spelling of 428100 in words is "four hundred twenty-eight thousand, one hundred".