Search a number
-
+
28372128616 = 23131914912909
BaseRepresentation
bin11010011011000111…
…000101001101101000
32201020022011110122101
4122123013011031220
5431101231103431
621011201103144
72023042054066
oct323307051550
981208143571
1028372128616
111103a366187
1255b9927ab4
1328a20511b0
14153217b036
15b10c71961
hex69b1c5368

28372128616 has 64 divisors (see below), whose sum is σ = 57726950400. Its totient is φ = 12995270400.

The previous prime is 28372128601. The next prime is 28372128703. The reversal of 28372128616 is 61682127382.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9751770 + ... + 9754678.

It is an arithmetic number, because the mean of its divisors is an integer number (901983600).

Almost surely, 228372128616 is an apocalyptic number.

28372128616 is a gapful number since it is divisible by the number (26) 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 28372128616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28863475200).

28372128616 is an abundant number, since it is smaller than the sum of its proper divisors (29354821784).

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

28372128616 is a wasteful number, since it uses less digits than its factorization.

28372128616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3606 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The spelling of 28372128616 in words is "twenty-eight billion, three hundred seventy-two million, one hundred twenty-eight thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 191 382 491 764 982 1528 1964 2483 2909 3928 4966 5818 6383 9932 11636 12766 19864 23272 25532 37817 51064 75634 93781 151268 187562 302536 375124 555619 750248 1111238 1219153 1428319 2222476 2438306 2856638 4444952 4876612 5713276 7223047 9753224 11426552 14446094 18568147 28892188 37136294 57784376 74272588 148545176 272808929 545617858 1091235716 2182471432 3546516077 7093032154 14186064308 28372128616