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28640146756 = 221322322832
BaseRepresentation
bin11010101011000101…
…011111010101000100
32201220222111012102011
4122223011133111010
5432123334144011
621053533424004
72032505142064
oct325305372504
981828435364
1028640146756
1111167686181
12567363b004
132915731c00
1415599c73a4
15b29564621
hex6ab15f544

28640146756 has 81 divisors (see below), whose sum is σ = 56935670589. Its totient is φ = 12599132832.

The previous prime is 28640146729. The next prime is 28640146757. The reversal of 28640146756 is 65764104682.

The square root of 28640146756 is 169234.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4236708100 + 24403438656 = 65090^2 + 156216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28640146757) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101201791 + ... + 101202073.

Almost surely, 228640146756 is an apocalyptic number.

28640146756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28640146756 is the 169234-th square number.

It is an amenable number.

28640146756 is a deficient number, since it is larger than the sum of its proper divisors (28295523833).

28640146756 is a wasteful number, since it uses less digits than its factorization.

28640146756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 28640146756 by its sum of digits (49), we get a square (1403367191044 = 11846382).

The spelling of 28640146756 in words is "twenty-eight billion, six hundred forty million, one hundred forty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 23 26 46 52 92 169 283 299 338 529 566 598 676 1058 1132 1196 2116 3679 3887 6509 6877 7358 7774 13018 13754 14716 15548 26036 27508 47827 80089 84617 89401 95654 149707 160178 169234 178802 191308 299414 320356 338468 357604 598828 1041157 1100021 1842047 1946191 2082314 2200042 3684094 3892382 4164628 4400084 7368188 7784764 13535041 23946611 25300483 27070082 42367081 47893222 50600966 54140164 84734162 95786444 101201932 169468324 311305943 550772053 622611886 1101544106 1245223772 2203088212 7160036689 14320073378 28640146756