Search a number
-
+
28365556656 = 24323203912601
BaseRepresentation
bin11010011010101110…
…000000101110110000
32201012211210120121110
4122122232000232300
5431043040303111
621010404153320
72022632152623
oct323256005660
981184716543
1028365556656
1111036687608
1255b7698840
1328a088ca68
141531349dba
15b103c45a6
hex69ab80bb0

28365556656 has 80 divisors (see below), whose sum is σ = 76507246080. Its totient is φ = 9038937600.

The previous prime is 28365556621. The next prime is 28365556657. The reversal of 28365556656 is 65665556382.

It is a junction number, because it is equal to n+sod(n) for n = 28365556596 and 28365556605.

It is not an unprimeable number, because it can be changed into a prime (28365556657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244756 + ... + 2257356.

It is an arithmetic number, because the mean of its divisors is an integer number (956340576).

Almost surely, 228365556656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28365556656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38253623040).

28365556656 is an abundant number, since it is smaller than the sum of its proper divisors (48141689424).

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

28365556656 is a wasteful number, since it uses less digits than its factorization.

28365556656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14674 (or 14668 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 57.

The spelling of 28365556656 in words is "twenty-eight billion, three hundred sixty-five million, five hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2039 4078 6117 8156 12234 12601 16312 24468 25202 32624 37803 46897 48936 50404 75606 93794 97872 100808 140691 151212 187588 201616 281382 289823 302424 375176 562764 579646 604848 750352 869469 1125528 1159292 1738938 2251056 2318584 3477876 4637168 6955752 13911504 25693439 51386878 77080317 102773756 154160634 205547512 308321268 411095024 590949097 616642536 1181898194 1233285072 1772847291 2363796388 3545694582 4727592776 7091389164 9455185552 14182778328 28365556656