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28066300900 = 225211215232
BaseRepresentation
bin11010001000111000…
…011100001111100100
32200102222200210212221
4122020320130033210
5424434433112100
620520554122124
72012336423101
oct321070341744
980388623787
1028066300900
11109a2771300
125533420344
132853892951
1415036cbaa8
15ae3eb101a
hex688e1c3e4

28066300900 has 81 divisors (see below), whose sum is σ = 66987910633. Its totient is φ = 10199226400.

The previous prime is 28066300877. The next prime is 28066300931. The reversal of 28066300900 is 900366082.

It is a happy number.

The square root of 28066300900 is 167530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10103868324 + 17962432576 = 100518^2 + 134024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18427539 + ... + 18429061.

Almost surely, 228066300900 is an apocalyptic number.

28066300900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28066300900 is the 167530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28066300900

28066300900 is an abundant number, since it is smaller than the sum of its proper divisors (38921609733).

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

28066300900 is a wasteful number, since it uses less digits than its factorization.

28066300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 28066300900 its reverse (900366082), we get a palindrome (28966666982).

The spelling of 28066300900 in words is "twenty-eight billion, sixty-six million, three hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1523 2420 3025 3046 6050 6092 7615 12100 15230 16753 30460 33506 38075 67012 76150 83765 152300 167530 184283 335060 368566 418825 737132 837650 921415 1675300 1842830 2319529 3685660 4607075 4639058 9214150 9278116 11597645 18428300 23195290 25514819 46390580 51029638 57988225 102059276 115976450 127574095 231952900 255148190 280663009 510296380 561326018 637870475 1122652036 1275740950 1403315045 2551481900 2806630090 5613260180 7016575225 14033150450 28066300900