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28103821600 = 2552281125017
BaseRepresentation
bin11010001011000111…
…100100100100100000
32200112121022001121111
4122023013210210200
5430024034242400
620524414233104
72013303353641
oct321307444440
980477261544
1028103821600
1110a11969148
125543ab5794
13285b59bb4a
1415086976c8
15ae74233ba
hex68b1e4920

28103821600 has 72 divisors (see below), whose sum is σ = 68853163428. Its totient is φ = 11201433600.

The previous prime is 28103821573. The next prime is 28103821637. The reversal of 28103821600 is 612830182.

It can be written as a sum of positive squares in 6 ways, for example, as 5335425936 + 22768395664 = 73044^2 + 150892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162292 + ... + 287308.

Almost surely, 228103821600 is an apocalyptic number.

28103821600 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 28103821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34426581714).

28103821600 is an abundant number, since it is smaller than the sum of its proper divisors (40749341828).

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

28103821600 is a wasteful number, since it uses less digits than its factorization.

28103821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125318 (or 125305 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 28103821600 in words is "twenty-eight billion, one hundred three million, eight hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 281 400 562 800 1124 1405 2248 2810 4496 5620 7025 8992 11240 14050 22480 28100 44960 56200 112400 125017 224800 250034 500068 625085 1000136 1250170 2000272 2500340 3125425 4000544 5000680 6250850 10001360 12501700 20002720 25003400 35129777 50006800 70259554 100013600 140519108 175648885 281038216 351297770 562076432 702595540 878244425 1124152864 1405191080 1756488850 2810382160 3512977700 5620764320 7025955400 14051910800 28103821600