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28053027800 = 23527139914323
BaseRepresentation
bin11010001000000101…
…110011101111011000
32200102001201110121122
4122020011303233120
5424423033342200
620515401424412
72012115542030
oct321005635730
980361643548
1028053027800
1110996225aa6
12552aa9b108
132850bc6345
141501a348c0
15ae2c3d385
hex688173bd8

28053027800 has 96 divisors (see below), whose sum is σ = 74599392000. Its totient is φ = 9610634880.

The previous prime is 28053027767. The next prime is 28053027809. The reversal of 28053027800 is 872035082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28053027809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951439 + ... + 1965761.

It is an arithmetic number, because the mean of its divisors is an integer number (777077000).

Almost surely, 228053027800 is an apocalyptic number.

28053027800 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 28053027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37299696000).

28053027800 is an abundant number, since it is smaller than the sum of its proper divisors (46546364200).

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

28053027800 is a wasteful number, since it uses less digits than its factorization.

28053027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 28053027800 in words is "twenty-eight billion, fifty-three million, twenty-seven thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1399 1400 2798 5596 6995 9793 11192 13990 14323 19586 27980 28646 34975 39172 48965 55960 57292 69950 71615 78344 97930 100261 114584 139900 143230 195860 200522 244825 279800 286460 358075 391720 401044 489650 501305 572920 716150 802088 979300 1002610 1432300 1958600 2005220 2506525 2864600 4010440 5013050 10026100 20037877 20052200 40075754 80151508 100189385 140265139 160303016 200378770 280530278 400757540 500946925 561060556 701325695 801515080 1001893850 1122121112 1402651390 2003787700 2805302780 3506628475 4007575400 5610605560 7013256950 14026513900 28053027800