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28059600100 = 22527223932
BaseRepresentation
bin11010001000011110…
…111000010011100100
32200102112002101010011
4122020132320103210
5424431224200400
620520154340004
72012225444200
oct321036702344
980375071104
1028059600100
1110999a04954
12553112a604
13285238798c
141502865b00
15ae35da8ba
hex6887b84e4

28059600100 has 81 divisors (see below), whose sum is σ = 70860059067. Its totient is φ = 9616414080.

The previous prime is 28059600073. The next prime is 28059600113. The reversal of 28059600100 is 100695082.

The square root of 28059600100 is 167510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13951861924 + 14107738176 = 118118^2 + 118776^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 11724504 + ... + 11726896.

Almost surely, 228059600100 is an apocalyptic number.

28059600100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28059600100 is the 167510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28059600100

28059600100 is an abundant number, since it is smaller than the sum of its proper divisors (42800458967).

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

28059600100 is an equidigital number, since it uses as much as digits as its factorization.

28059600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 28059600100 in words is "twenty-eight billion, fifty-nine million, six hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2393 2450 4786 4900 9572 11965 16751 23930 33502 47860 59825 67004 83755 117257 119650 167510 234514 239300 335020 418775 469028 586285 837550 1172570 1675100 2345140 2931425 5726449 5862850 11452898 11725700 22905796 28632245 40085143 57264490 80170286 114528980 143161225 160340572 200425715 280596001 286322450 400851430 561192002 572644900 801702860 1002128575 1122384004 1402980005 2004257150 2805960010 4008514300 5611920020 7014900025 14029800050 28059600100