Search a number
-
+
28188192 = 253479613
BaseRepresentation
bin110101110000…
…1111000100000
31222001002221010
41223201320200
524204010232
62444100520
7461411214
oct153417040
958032833
1028188192
1114a0322a
129534740
135abc406
143a5a944
15271c0cc
hex1ae1e20

28188192 has 48 divisors (see below), whose sum is σ = 74269440. Its totient is φ = 9361152.

The previous prime is 28188157. The next prime is 28188221. The reversal of 28188192 is 29188182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28188192.

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 7 ways as a sum of consecutive naturals, for example, 45678 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (1547280).

Almost surely, 228188192 is an apocalyptic number.

It is an amenable number.

28188192 is an abundant number, since it is smaller than the sum of its proper divisors (46081248).

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

28188192 is a wasteful number, since it uses less digits than its factorization.

28188192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 28188192 is about 5309.2553150136. The cubic root of 28188192 is about 304.3376903055.

The spelling of 28188192 in words is "twenty-eight million, one hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 479 613 958 1226 1437 1839 1916 2452 2874 3678 3832 4904 5748 7356 7664 9808 11496 14712 15328 19616 22992 29424 45984 58848 293627 587254 880881 1174508 1761762 2349016 3523524 4698032 7047048 9396064 14094096 28188192