Search a number
-
+
28098560 = 214573
BaseRepresentation
bin110101100110…
…0000000000000
31221212112222102
41223030000000
524143123220
62442125532
7460556000
oct153140000
957775872
1028098560
1114951956
1294b08a8
135a8a689
143a36000
152700775
hex1acc000

28098560 has 120 divisors (see below), whose sum is σ = 78640800. Its totient is φ = 9633792.

The previous prime is 28098547. The next prime is 28098589. The reversal of 28098560 is 6589082.

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, 4014077 + ... + 4014083.

It is an arithmetic number, because the mean of its divisors is an integer number (655340).

Almost surely, 228098560 is an apocalyptic number.

28098560 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 28098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39320400).

28098560 is an abundant number, since it is smaller than the sum of its proper divisors (50542240).

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

28098560 is an frugal number, since it uses more digits than its factorization.

28098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 28098560 is about 5300.8074856573. The cubic root of 28098560 is about 304.0147730586.

The spelling of 28098560 in words is "twenty-eight million, ninety-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 512 560 640 686 784 896 980 1024 1120 1280 1372 1568 1715 1792 1960 2048 2240 2560 2744 3136 3430 3584 3920 4096 4480 5120 5488 6272 6860 7168 7840 8192 8960 10240 10976 12544 13720 14336 15680 16384 17920 20480 21952 25088 27440 28672 31360 35840 40960 43904 50176 54880 57344 62720 71680 81920 87808 100352 109760 114688 125440 143360 175616 200704 219520 250880 286720 351232 401408 439040 501760 573440 702464 802816 878080 1003520 1404928 1756160 2007040 2809856 3512320 4014080 5619712 7024640 14049280 28098560