Search a number
-
+
28886160 = 2435235233
BaseRepresentation
bin110111000110…
…0010010010000
32000100120100210
41232030102100
524343324120
62511044120
7500346132
oct156142220
960316323
1028886160
111533a666
129810640
135ca5004
143b9d052
152808ce0
hex1b8c490

28886160 has 80 divisors (see below), whose sum is σ = 93458304. Its totient is φ = 7366656.

The previous prime is 28886147. The next prime is 28886171. The reversal of 28886160 is 6168882.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2904 + ... + 8136.

Almost surely, 228886160 is an apocalyptic number.

28886160 is a gapful number since it is divisible by the number (20) 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 28886160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46729152).

28886160 is an abundant number, since it is smaller than the sum of its proper divisors (64572144).

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

28886160 is a wasteful number, since it uses less digits than its factorization.

28886160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 28886160 is about 5374.5846351137. The cubic root of 28886160 is about 306.8291409578.

The spelling of 28886160 in words is "twenty-eight million, eight hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5233 5520 10466 15699 20932 26165 31398 41864 52330 62796 78495 83728 104660 120359 125592 156990 209320 240718 251184 313980 361077 418640 481436 601795 627960 722154 962872 1203590 1255920 1444308 1805385 1925744 2407180 2888616 3610770 4814360 5777232 7221540 9628720 14443080 28886160