Search a number
-
+
28827360 = 253356673
BaseRepresentation
bin110110111110…
…1111011100000
32000020120201000
41231331323200
524334433420
62505512000
7500012532
oct155757340
960216630
1028827360
11152aa471
1297a2600
135c84313
143b85852
1527e6690
hex1b7dee0

28827360 has 96 divisors (see below), whose sum is σ = 100910880. Its totient is φ = 7686144.

The previous prime is 28827347. The next prime is 28827371. The reversal of 28827360 is 6372882.

It is a happy number.

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

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

It is a congruent number.

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, 984 + ... + 7656.

It is an arithmetic number, because the mean of its divisors is an integer number (1051155).

Almost surely, 228827360 is an apocalyptic number.

28827360 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 28827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455440).

28827360 is an abundant number, since it is smaller than the sum of its proper divisors (72083520).

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

28827360 is a wasteful number, since it uses less digits than its factorization.

28827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28827360 is about 5369.1116583658. Note that the first 3 decimals coincide. The cubic root of 28827360 is about 306.6208080975.

The spelling of 28827360 in words is "twenty-eight million, eight hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 6673 13346 20019 26692 33365 40038 53384 60057 66730 80076 100095 106768 120114 133460 160152 180171 200190 213536 240228 266920 300285 320304 360342 400380 480456 533840 600570 640608 720684 800760 900855 960912 1067680 1201140 1441368 1601520 1801710 1921824 2402280 2882736 3203040 3603420 4804560 5765472 7206840 9609120 14413680 28827360