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10428 = 2231179
BaseRepresentation
bin10100010111100
3112022020
42202330
5313203
6120140
742255
oct24274
915266
1010428
117920
126050
134992
143b2c
153153
hex28bc

10428 has 24 divisors (see below), whose sum is σ = 26880. Its totient is φ = 3120.

The previous prime is 10427. The next prime is 10429. The reversal of 10428 is 82401.

10428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10427) and next prime (10429).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427) 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, 93 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1120).

210428 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 10428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

10428 is an abundant number, since it is smaller than the sum of its proper divisors (16452).

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

10428 is a wasteful number, since it uses less digits than its factorization.

10428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

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

The square root of 10428 is about 102.1175792898. The cubic root of 10428 is about 21.8474292105.

Adding to 10428 its reverse (82401), we get a palindrome (92829).

The spelling of 10428 in words is "ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428