Search a number
-
+
28281176 = 23711311481
BaseRepresentation
bin110101111100…
…0100101011000
31222012211110222
41223320211120
524214444201
62450055212
7462246260
oct153704530
958184428
1028281176
1114a67080
12957a508
135b22831
143a827a0
15273991b
hex1af8958

28281176 has 64 divisors (see below), whose sum is σ = 68290560. Its totient is φ = 10656000.

The previous prime is 28281173. The next prime is 28281181. The reversal of 28281176 is 67118282.

Its product of digits (10752) is a multiple of the sum of its prime factors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28281173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18356 + ... + 19836.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 228281176 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 28281176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145280).

28281176 is an abundant number, since it is smaller than the sum of its proper divisors (40009384).

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

28281176 is a wasteful number, since it uses less digits than its factorization.

28281176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 28281176 is about 5318.0048890538. The cubic root of 28281176 is about 304.6719612027.

It can be divided in two parts, 2828 and 1176, that added together give a palindrome (4004).

The spelling of 28281176 in words is "twenty-eight million, two hundred eighty-one thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1481 1736 2387 2728 2962 4774 5924 9548 10367 11848 16291 19096 20734 32582 41468 45911 65164 82936 91822 114037 130328 183644 228074 321377 367288 456148 505021 642754 912296 1010042 1285508 2020084 2571016 3535147 4040168 7070294 14140588 28281176