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28424257860 = 22357143915199
BaseRepresentation
bin11010011110001101…
…111100000101000100
32201100221020220112010
4122132031330011010
5431203102222420
621020302254220
72024244130305
oct323615740504
981327226463
1028424257860
11110668306a9
125613287370
1328acaa37bb
14153906a7ac
15b1561c4e0
hex69e37c144

28424257860 has 96 divisors (see below), whose sum is σ = 80898048000. Its totient is φ = 7455530880.

The previous prime is 28424257853. The next prime is 28424257861. The reversal of 28424257860 is 6875242482.

It is not an unprimeable number, because it can be changed into a prime (28424257861) 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 31 ways as a sum of consecutive naturals, for example, 1862541 + ... + 1877739.

It is an arithmetic number, because the mean of its divisors is an integer number (842688000).

Almost surely, 228424257860 is an apocalyptic number.

28424257860 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 28424257860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40449024000).

28424257860 is an abundant number, since it is smaller than the sum of its proper divisors (52473790140).

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

28424257860 is a wasteful number, since it uses less digits than its factorization.

28424257860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15721 (or 15719 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 28424257860 in words is "twenty-eight billion, four hundred twenty-four million, two hundred fifty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 439 710 852 878 1065 1317 1420 1756 2130 2195 2634 4260 4390 5268 6585 8780 13170 15199 26340 30398 31169 45597 60796 62338 75995 91194 93507 124676 151990 155845 182388 187014 227985 303980 311690 374028 455970 467535 623380 911940 935070 1079129 1870140 2158258 3237387 4316516 5395645 6474774 6672361 10791290 12949548 13344722 16186935 20017083 21582580 26689444 32373870 33361805 40034166 64747740 66723610 80068332 100085415 133447220 200170830 400341660 473737631 947475262 1421212893 1894950524 2368688155 2842425786 4737376310 5684851572 7106064465 9474752620 14212128930 28424257860