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28628951760 = 2432539762433
BaseRepresentation
bin11010101010011010…
…110010001011010000
32201220012102102202200
4122222122302023100
5432113002424020
621052453443200
72032311034443
oct325232621320
981805372680
1028628951760
111116132a212
12566b940500
132913312456
14155831165a
15b285a2590
hex6aa6b22d0

28628951760 has 60 divisors (see below), whose sum is σ = 96145565412. Its totient is φ = 7634386944.

The previous prime is 28628951731. The next prime is 28628951777. The reversal of 28628951760 is 6715982682.

28628951760 is a `hidden beast` number, since 2 + 8 + 62 + 8 + 9 + 517 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21651356736 + 6977595024 = 147144^2 + 83532^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 28628951697 and 28628951706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19880497 + ... + 19881936.

Almost surely, 228628951760 is an apocalyptic number.

28628951760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28628951760 is an abundant number, since it is smaller than the sum of its proper divisors (67516613652).

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

28628951760 is a wasteful number, since it uses less digits than its factorization.

28628951760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39762452 (or 39762443 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28628951760 in words is "twenty-eight billion, six hundred twenty-eight million, nine hundred fifty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 39762433 79524866 119287299 159049732 198812165 238574598 318099464 357861897 397624330 477149196 596436495 636198928 715723794 795248660 954298392 1192872990 1431447588 1590497320 1789309485 1908596784 2385745980 2862895176 3180994640 3578618970 4771491960 5725790352 7157237940 9542983920 14314475880 28628951760