Search a number
-
+
28282828280 = 2357412719091
BaseRepresentation
bin11010010101110010…
…011011010111111000
32201000002010112121112
4122111302123113320
5430410401001110
620554251055452
72020606034210
oct322562332770
981002115545
1028282828280
1110aa3a12553
125593a41588
1328896b5865
141524373240
15b07ed2405
hex695c9b5f8

28282828280 has 128 divisors (see below), whose sum is σ = 74784245760. Its totient is φ = 9424512000.

The previous prime is 28282828229. The next prime is 28282828283. The reversal of 28282828280 is 8282828282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28282828283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106535 + ... + 3115625.

It is an arithmetic number, because the mean of its divisors is an integer number (584251920).

Almost surely, 228282828280 is an apocalyptic number.

28282828280 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 28282828280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37392122880).

28282828280 is an abundant number, since it is smaller than the sum of its proper divisors (46501417480).

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

28282828280 is a wasteful number, since it uses less digits than its factorization.

28282828280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 50.

The spelling of 28282828280 in words is "twenty-eight billion, two hundred eighty-two million, eight hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 271 280 287 328 410 542 574 820 1084 1148 1355 1435 1640 1897 2168 2296 2710 2870 3794 5420 5740 7588 9091 9485 10840 11111 11480 15176 18182 18970 22222 36364 37940 44444 45455 55555 63637 72728 75880 77777 88888 90910 111110 127274 155554 181820 222220 254548 311108 318185 363640 372731 388885 444440 509096 622216 636370 745462 777770 1272740 1490924 1555540 1863655 2463661 2545480 2609117 2981848 3111080 3727310 4927322 5218234 7454620 9854644 10436468 12318305 13045585 14909240 17245627 19709288 20872936 24636610 26091170 34491254 49273220 52182340 68982508 86228135 98546440 101010101 104364680 137965016 172456270 202020202 344912540 404040404 505050505 689825080 707070707 808080808 1010101010 1414141414 2020202020 2828282828 3535353535 4040404040 5656565656 7070707070 14141414140 28282828280