Search a number
-
+
28035628900 = 2252377577197
BaseRepresentation
bin11010000111000011…
…011011111101100100
32200100211222111210221
4122013003123331210
5424404110111100
620513540454124
72011514625256
oct320703337544
980324874727
1028035628900
1110987421a44
1255250aa344
13284a413b36
1414dd5c5cd6
15ae145301a
hex6870dbf64

28035628900 has 36 divisors (see below), whose sum is σ = 62481574708. Its totient is φ = 10911162240.

The previous prime is 28035628879. The next prime is 28035628919. The reversal of 28035628900 is 982653082.

It can be written as a sum of positive squares in 6 ways, for example, as 3831114816 + 24204514084 = 61896^2 + 155578^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3784899 + ... + 3792298.

Almost surely, 228035628900 is an apocalyptic number.

28035628900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28035628900 is an abundant number, since it is smaller than the sum of its proper divisors (34445945808).

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

28035628900 is a wasteful number, since it uses less digits than its factorization.

28035628900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577248 (or 7577241 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 28035628900 in words is "twenty-eight billion, thirty-five million, six hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 7577197 15154394 30308788 37885985 75771970 151543940 189429925 280356289 378859850 560712578 757719700 1121425156 1401781445 2803562890 5607125780 7008907225 14017814450 28035628900