Search a number
-
+
28870656 = 211337127
BaseRepresentation
bin110111000100…
…0100000000000
32000022210002120
41232020200000
524342330111
62510444240
7500253003
oct156104000
960283076
1028870656
1115329a51
129803680
135c9ac39
143b9753a
152804406
hex1b88800

28870656 has 96 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 9289728.

The previous prime is 28870649. The next prime is 28870661. The reversal of 28870656 is 65607882.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227265 + ... + 227391.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 228870656 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 28870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

28870656 is an abundant number, since it is smaller than the sum of its proper divisors (50801664).

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

28870656 is a wasteful number, since it uses less digits than its factorization.

28870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 28870656 is about 5373.1420975068. The cubic root of 28870656 is about 306.7742365753.

The spelling of 28870656 in words is "twenty-eight million, eight hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 127 128 148 192 222 254 256 296 381 384 444 508 512 592 762 768 888 1016 1024 1184 1524 1536 1776 2032 2048 2368 3048 3072 3552 4064 4699 4736 6096 6144 7104 8128 9398 9472 12192 14097 14208 16256 18796 18944 24384 28194 28416 32512 37592 37888 48768 56388 56832 65024 75184 75776 97536 112776 113664 130048 150368 195072 225552 227328 260096 300736 390144 451104 601472 780288 902208 1202944 1804416 2405888 3608832 4811776 7217664 9623552 14435328 28870656