428792 has 64 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 155520.
The previous prime is 428777. The next prime is 428797. The reversal of 428792 is 297824.
428792 is nontrivially palindromic in base 3.
428792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
Its product of digits (8064) is a multiple of the sum of its prime divisors (72).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428792.
It is not an unprimeable number, because it can be changed into a prime (428797) by changing a digit.
428792 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 15 ways as a sum of consecutive naturals, for example, 13817 + ... + 13847.
It is an arithmetic number, because the mean of its divisors is an integer number (16800).
2428792 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 428792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).
428792 is an abundant number, since it is smaller than the sum of its proper divisors (646408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428792 is a wasteful number, since it uses less digits than its factorization.
428792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 72 counting only the distinct ones).
The product of its digits is 8064, while the sum is 32.
The square root of 428792 is about 654.8221132491. The cubic root of 428792 is about 75.4076762818.
Adding to 428792 its sum of digits (32), we get a palindrome (428824).
It can be divided in two parts, 42879 and 2, that multiplied together give a palindrome (85758).
The spelling of 428792 in words is "four hundred twenty-eight thousand, seven hundred ninety-two".
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