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428792 = 237131931
BaseRepresentation
bin1101000101011111000
3210210012012
41220223320
5102210132
613105052
73434060
oct1505370
9723165
10428792
11273181
12188188
13120230
14b23a0
15870b2
hex68af8

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".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 364 403 434 494 532 589 728 806 868 988 1064 1178 1612 1729 1736 1976 2356 2821 3224 3458 4123 4712 5642 6916 7657 8246 11284 13832 15314 16492 22568 30628 32984 53599 61256 107198 214396 428792