Search a number
-
+
28805568 = 2631123593
BaseRepresentation
bin110110111100…
…0100111000000
32000012110210220
41231320213000
524333234233
62505223040
7466562151
oct155704700
960173726
1028805568
1115295060
129791a80
135c7741c
143b7b928
1527deeb3
hex1b789c0

28805568 has 112 divisors (see below), whose sum is σ = 86904576. Its totient is φ = 8335360.

The previous prime is 28805561. The next prime is 28805587. The reversal of 28805568 is 86550882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28805561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48280 + ... + 48872.

Almost surely, 228805568 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 28805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43452288).

28805568 is an abundant number, since it is smaller than the sum of its proper divisors (58099008).

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

28805568 is a wasteful number, since it uses less digits than its factorization.

28805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 28805568 is about 5367.0818886989. The cubic root of 28805568 is about 306.5435254388.

It can be divided in two parts, 2880 and 5568, that added together give a palindrome (8448).

The spelling of 28805568 in words is "twenty-eight million, eight hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 593 704 736 759 1012 1056 1104 1186 1472 1518 1779 2024 2112 2208 2372 3036 3558 4048 4416 4744 6072 6523 7116 8096 9488 12144 13046 13639 14232 16192 18976 19569 24288 26092 27278 28464 37952 39138 40917 48576 52184 54556 56928 78276 81834 104368 109112 113856 150029 156552 163668 208736 218224 300058 313104 327336 417472 436448 450087 600116 626208 654672 872896 900174 1200232 1252416 1309344 1800348 2400464 2618688 3600696 4800928 7201392 9601856 14402784 28805568