Search a number
-
+
28366164 = 223219113367
BaseRepresentation
bin110110000110…
…1010101010100
31222101011001200
41230031111110
524230204124
62451552500
7463052121
oct154152524
958334050
1028366164
1115014a12
1295bb730
135b52418
143aa5748
152754bc9
hex1b0d554

28366164 has 72 divisors (see below), whose sum is σ = 76352640. Its totient is φ = 8854272.

The previous prime is 28366157. The next prime is 28366171. The reversal of 28366164 is 46166382.

28366164 is a `hidden beast` number, since 2 + 8 + 36 + 616 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28366157) and next prime (28366171).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77109 + ... + 77475.

Almost surely, 228366164 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 28366164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38176320).

28366164 is an abundant number, since it is smaller than the sum of its proper divisors (47986476).

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

28366164 is a wasteful number, since it uses less digits than its factorization.

28366164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 504 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 28366164 is about 5325.9894855322. The cubic root of 28366164 is about 304.9768467599.

The spelling of 28366164 in words is "twenty-eight million, three hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 367 452 678 684 734 1017 1101 1356 1468 2034 2147 2202 3303 4068 4294 4404 6441 6606 6973 8588 12882 13212 13946 19323 20919 25764 27892 38646 41471 41838 62757 77292 82942 83676 124413 125514 165884 248826 251028 373239 497652 746478 787949 1492956 1575898 2363847 3151796 4727694 7091541 9455388 14183082 28366164