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28930176 = 273311761
BaseRepresentation
bin110111001011…
…1000010000000
32000102210202000
41232113002000
524401231201
62512024000
7500621352
oct156270200
960383660
1028930176
111536a740
129832000
135cbc062
143bb10d2
152816d86
hex1b97080

28930176 has 128 divisors (see below), whose sum is σ = 93268800. Its totient is φ = 8755200.

The previous prime is 28930169. The next prime is 28930193. The reversal of 28930176 is 67103982.

28930176 is a `hidden beast` number, since 289 + 301 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 28930176.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37636 + ... + 38396.

Almost surely, 228930176 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 28930176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46634400).

28930176 is an abundant number, since it is smaller than the sum of its proper divisors (64338624).

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

28930176 is a wasteful number, since it uses less digits than its factorization.

28930176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 28930176 is about 5378.6779044669. The cubic root of 28930176 is about 306.9849080281.

The spelling of 28930176 in words is "twenty-eight million, nine hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 761 792 864 1056 1152 1188 1408 1522 1584 1728 2112 2283 2376 3044 3168 3456 4224 4566 4752 6088 6336 6849 8371 9132 9504 12176 12672 13698 16742 18264 19008 20547 24352 25113 27396 33484 36528 38016 41094 48704 50226 54792 66968 73056 75339 82188 97408 100452 109584 133936 146112 150678 164376 200904 219168 226017 267872 292224 301356 328752 401808 438336 452034 535744 602712 657504 803616 876672 904068 1071488 1205424 1315008 1607232 1808136 2410848 2630016 3214464 3616272 4821696 7232544 9643392 14465088 28930176