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28931136 = 2631367173
BaseRepresentation
bin110111001011…
…1010001000000
32000102212001120
41232113101000
524401244021
62512032240
7500624223
oct156272100
960385046
1028931136
1115370433
129832680
135cbc620
143bb15ba
1528172c6
hex1b97440

28931136 has 112 divisors (see below), whose sum is σ = 84149184. Its totient is φ = 8718336.

The previous prime is 28931099. The next prime is 28931191. The reversal of 28931136 is 63113982.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28931097 and 28931106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167146 + ... + 167318.

It is an arithmetic number, because the mean of its divisors is an integer number (751332).

Almost surely, 228931136 is an apocalyptic number.

28931136 is a gapful number since it is divisible by the number (26) 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 28931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42074592).

28931136 is an abundant number, since it is smaller than the sum of its proper divisors (55218048).

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

28931136 is a wasteful number, since it uses less digits than its factorization.

28931136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 28931136 is about 5378.7671449878. The cubic root of 28931136 is about 306.9883035859.

The spelling of 28931136 in words is "twenty-eight million, nine hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 134 156 173 192 201 208 268 312 346 402 416 519 536 624 692 804 832 871 1038 1072 1248 1384 1608 1742 2076 2144 2249 2496 2613 2768 3216 3484 4152 4288 4498 5226 5536 6432 6747 6968 8304 8996 10452 11072 11591 12864 13494 13936 16608 17992 20904 23182 26988 27872 33216 34773 35984 41808 46364 53976 55744 69546 71968 83616 92728 107952 139092 143936 150683 167232 185456 215904 278184 301366 370912 431808 452049 556368 602732 741824 904098 1112736 1205464 1808196 2225472 2410928 3616392 4821856 7232784 9643712 14465568 28931136