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28160765676 = 2232173110314411
BaseRepresentation
bin11010001110100000…
…110010111011101100
32200200120110010012100
4122032200302323230
5430133124000201
620534210535100
72014564362441
oct321640627354
980616403170
1028160765676
1110a4102206a
12555ab97490
13286a318b74
14151207b9c8
15aec420886
hex68e832eec

28160765676 has 144 divisors (see below), whose sum is σ = 78563616768. Its totient is φ = 8466163200.

The previous prime is 28160765671. The next prime is 28160765753. The reversal of 28160765676 is 67656706182.

28160765676 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 0 + 76 + 567 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (28160765671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1946911 + ... + 1961321.

It is an arithmetic number, because the mean of its divisors is an integer number (545580672).

Almost surely, 228160765676 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 28160765676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39281808384).

28160765676 is an abundant number, since it is smaller than the sum of its proper divisors (50402851092).

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

28160765676 is a wasteful number, since it uses less digits than its factorization.

28160765676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14572 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 28160765676 in words is "twenty-eight billion, one hundred sixty million, seven hundred sixty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 103 124 153 186 204 206 279 306 309 372 412 527 558 612 618 927 1054 1116 1236 1581 1751 1854 2108 3162 3193 3502 3708 4743 5253 6324 6386 7004 9486 9579 10506 12772 14411 15759 18972 19158 21012 28737 28822 31518 38316 43233 54281 57474 57644 63036 86466 108562 114948 129699 162843 172932 217124 244987 259398 325686 446741 488529 489974 518796 651372 734961 893482 977058 979948 1340223 1469922 1484333 1786964 1954116 2204883 2680446 2939844 2968666 4020669 4409766 4452999 5360892 5937332 7594597 8041338 8819532 8905998 13358997 15189194 16082676 17811996 22783791 25233661 26717994 30378388 45567582 46014323 50467322 53435988 68351373 75700983 91135164 92028646 100934644 136702746 138042969 151401966 184057292 227102949 273405492 276085938 302803932 414128907 454205898 552171876 782243491 828257814 908411796 1564486982 1656515628 2346730473 3128973964 4693460946 7040191419 9386921892 14080382838 28160765676