Search a number
-
+
28851840 = 273255009
BaseRepresentation
bin110111000001…
…1111010000000
32000021211021200
41232003322000
524341224330
62510221200
7500144103
oct156037200
960254250
1028851840
11153168a6
1297b4800
135c924c4
143b9073a
1527eda60
hex1b83e80

28851840 has 96 divisors (see below), whose sum is σ = 99648900. Its totient is φ = 7692288.

The previous prime is 28851829. The next prime is 28851847. The reversal of 28851840 is 4815882.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 207936 = 5352^2 + 456^2 .

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 junction number, because it is equal to n+sod(n) for n = 28851795 and 28851804.

It is not an unprimeable number, because it can be changed into a prime (28851847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3256 + ... + 8264.

Almost surely, 228851840 is an apocalyptic number.

28851840 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 28851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49824450).

28851840 is an abundant number, since it is smaller than the sum of its proper divisors (70797060).

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

28851840 is a wasteful number, since it uses less digits than its factorization.

28851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 28851840 is about 5371.3908813267. The cubic root of 28851840 is about 306.7075769829.

The spelling of 28851840 in words is "twenty-eight million, eight hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5009 5760 10018 15027 20036 25045 30054 40072 45081 50090 60108 75135 80144 90162 100180 120216 150270 160288 180324 200360 225405 240432 300540 320576 360648 400720 450810 480864 601080 641152 721296 801440 901620 961728 1202160 1442592 1602880 1803240 1923456 2404320 2885184 3205760 3606480 4808640 5770368 7212960 9617280 14425920 28851840