Search a number
-
+
28771560 = 23325229349
BaseRepresentation
bin110110111000…
…0010011101000
32000010202011100
41231300103220
524331142220
62504401400
7466361046
oct155602350
960122140
1028771560
1115271554
129776260
135c64abc
143b6d396
1527d4d90
hex1b704e8

28771560 has 96 divisors (see below), whose sum is σ = 94185000. Its totient is φ = 7617024.

The previous prime is 28771559. The next prime is 28771573. The reversal of 28771560 is 6517782.

28771560 is a `hidden beast` number, since 28 + 7 + 71 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28579716 + 191844 = 5346^2 + 438^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82266 + ... + 82614.

Almost surely, 228771560 is an apocalyptic number.

28771560 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 28771560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47092500).

28771560 is an abundant number, since it is smaller than the sum of its proper divisors (65413440).

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

28771560 is a wasteful number, since it uses less digits than its factorization.

28771560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 28771560 is about 5363.9127509683. The cubic root of 28771560 is about 306.4228423185.

The spelling of 28771560 in words is "twenty-eight million, seven hundred seventy-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 349 360 458 687 698 916 1047 1145 1374 1396 1745 1832 2061 2094 2290 2748 2792 3141 3435 3490 4122 4188 4580 5235 5496 6282 6870 6980 8244 8376 9160 10305 10470 12564 13740 13960 15705 16488 20610 20940 25128 27480 31410 41220 41880 62820 79921 82440 125640 159842 239763 319684 399605 479526 639368 719289 799210 959052 1198815 1438578 1598420 1918104 2397630 2877156 3196840 3596445 4795260 5754312 7192890 9590520 14385780 28771560