428172 has 24 divisors (see below), whose sum is σ = 1032192. Its totient is φ = 138000.

The previous prime is 428167. The next prime is 428173. The reversal of 428172 is 271824.

428172 = T₁₃ + T₁₄ + ... + T₁₃₆.

It is a super-3 number, since 3×428172³ = 235491938804833344, which contains 333 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (428173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (43008).

2⁴²⁸¹⁷² is an apocalyptic number.

It is an amenable number.

428172 is an abundant number, since it is smaller than the sum of its proper divisors (604020).

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

428172 is a wasteful number, since it uses less digits than its factorization.

428172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1187 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 428172 is about 654.3485309833. The cubic root of 428172 is about 75.3713141987.

Adding to 428172 its reverse (271824), we get a palindrome (699996).

The spelling of 428172 in words is "four hundred twenty-eight thousand, one hundred seventy-two".