Search a number
-
+
28972188 = 22337192017
BaseRepresentation
bin110111010000…
…1010010011100
32000111221101000
41232201102130
524404102223
62512550300
7501155010
oct156412234
960457330
1028972188
1115399263
129852390
13600520b
143bc2540
152824543
hex1ba149c

28972188 has 96 divisors (see below), whose sum is σ = 90406400. Its totient is φ = 7838208.

The previous prime is 28972159. The next prime is 28972193. The reversal of 28972188 is 88127982.

It is a happy number.

Its product of digits (129024) is a multiple of the sum of its prime divisors (2048).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13356 + ... + 15372.

Almost surely, 228972188 is an apocalyptic number.

28972188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28972188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45203200).

28972188 is an abundant number, since it is smaller than the sum of its proper divisors (61434212).

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

28972188 is a wasteful number, since it uses less digits than its factorization.

28972188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2048 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 28972188 is about 5382.5819083410. The cubic root of 28972188 is about 307.1334358953.

The spelling of 28972188 in words is "twenty-eight million, nine hundred seventy-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2017 2052 2394 3591 4034 4788 6051 7182 8068 12102 14119 14364 18153 24204 28238 36306 38323 42357 54459 56476 72612 76646 84714 108918 114969 127071 153292 169428 217836 229938 254142 268261 344907 381213 459876 508284 536522 689814 762426 804783 1034721 1073044 1379628 1524852 1609566 2069442 2414349 3219132 4138884 4828698 7243047 9657396 14486094 28972188