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28216424136 = 233101127151607
BaseRepresentation
bin11010010001110101…
…000111011011001000
32200211110011212020210
4122101311013123020
5430241401033021
620543515521120
72016141435135
oct322165073310
980743155223
1028216424136
1110a6a48809a
1255757591a0
132878a05974
14151960958c
15b02266e76
hex691d476c8

28216424136 has 128 divisors (see below), whose sum is σ = 72394997760. Its totient is φ = 9162720000.

The previous prime is 28216424129. The next prime is 28216424149. The reversal of 28216424136 is 63142461282.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28216424094 and 28216424103.

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 31 ways as a sum of consecutive naturals, for example, 46484745 + ... + 46485351.

It is an arithmetic number, because the mean of its divisors is an integer number (565585920).

Almost surely, 228216424136 is an apocalyptic number.

It is an amenable number.

28216424136 is an abundant number, since it is smaller than the sum of its proper divisors (44178573624).

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

28216424136 is a wasteful number, since it uses less digits than its factorization.

28216424136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 28216424136 in words is "twenty-eight billion, two hundred sixteen million, four hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 101 127 151 202 254 302 303 381 404 453 508 604 606 607 762 808 906 1016 1208 1212 1214 1524 1812 1821 2424 2428 3048 3624 3642 4856 7284 12827 14568 15251 19177 25654 30502 38354 38481 45753 51308 57531 61004 61307 76708 76962 77089 91506 91657 102616 115062 122008 122614 153416 153924 154178 183012 183314 183921 230124 231267 245228 274971 307848 308356 366024 366628 367842 460248 462534 490456 549942 616712 733256 735684 925068 1099884 1471368 1850136 1936877 2199768 3873754 5810631 7747508 7785989 9257357 11621262 11640439 15495016 15571978 18514714 23242524 23280878 23357967 27772071 31143956 34921317 37029428 46485048 46561756 46715934 55544142 62287912 69842634 74058856 93123512 93431868 111088284 139685268 186863736 222176568 279370536 1175684339 2351368678 3527053017 4702737356 7054106034 9405474712 14108212068 28216424136