Search a number
-
+
28905228 = 22331129839
BaseRepresentation
bin110111001000…
…0111100001100
32000101112112000
41232100330030
524344431403
62511312300
7500455542
oct156207414
960345460
1028905228
1115352a20
12981b690
135cb08b1
143ba5d92
15280e7a3
hex1b90f0c

28905228 has 96 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 8447040.

The previous prime is 28905223. The next prime is 28905229. The reversal of 28905228 is 82250982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28905192 and 28905201.

It is not an unprimeable number, because it can be changed into a prime (28905223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34033 + ... + 34871.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 228905228 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 28905228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

28905228 is an abundant number, since it is smaller than the sum of its proper divisors (55766772).

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

28905228 is a wasteful number, since it uses less digits than its factorization.

28905228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28905228 is about 5376.3582469921. The cubic root of 28905228 is about 306.8966396168.

It can be divided in two parts, 2890 and 5228, that added together give a palindrome (8118).

The spelling of 28905228 in words is "twenty-eight million, nine hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 839 957 1044 1188 1276 1566 1678 1914 2517 2871 3132 3356 3828 5034 5742 7551 8613 9229 10068 11484 15102 17226 18458 22653 24331 27687 30204 34452 36916 45306 48662 55374 72993 83061 90612 97324 110748 145986 166122 218979 249183 267641 291972 332244 437958 498366 535282 656937 802923 875916 996732 1070564 1313874 1605846 2408769 2627748 3211692 4817538 7226307 9635076 14452614 28905228