Search a number
-
+
28165320 = 233458693
BaseRepresentation
bin110101101110…
…0010011001000
31221222221120000
41223130103020
524202242240
62443403000
7461254431
oct153342310
957887500
1028165320
1114998027
129523460
135ab1b91
143a52488
152715430
hex1adc4c8

28165320 has 80 divisors (see below), whose sum is σ = 94677660. Its totient is φ = 7509888.

The previous prime is 28165309. The next prime is 28165327. The reversal of 28165320 is 2356182.

28165320 is a `hidden beast` number, since 2 + 8 + 1 + 653 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24860196 + 3305124 = 4986^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28165327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1107 + ... + 7586.

Almost surely, 228165320 is an apocalyptic number.

28165320 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 28165320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47338830).

28165320 is an abundant number, since it is smaller than the sum of its proper divisors (66512340).

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

28165320 is a wasteful number, since it uses less digits than its factorization.

28165320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28165320 is about 5307.1009035065. The cubic root of 28165320 is about 304.2553544681.

The spelling of 28165320 in words is "twenty-eight million, one hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 8693 17386 26079 34772 43465 52158 69544 78237 86930 104316 130395 156474 173860 208632 234711 260790 312948 347720 391185 469422 521580 625896 704133 782370 938844 1043160 1173555 1408266 1564740 1877688 2347110 2816532 3129480 3520665 4694220 5633064 7041330 9388440 14082660 28165320