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28220009727 = 37137912710303
BaseRepresentation
bin11010010010000010…
…110010110011111111
32200211200221000202110
4122102002302303333
5430243310302402
620544124425103
72016214060560
oct322202626377
980750830673
1028220009727
1110a71506a98
1255769a8193
13287968ca10
141519ca0167
15b0272456c
hex6920b2cff

28220009727 has 64 divisors (see below), whose sum is σ = 47269806080. Its totient is φ = 14579720064.

The previous prime is 28220009717. The next prime is 28220009743. The reversal of 28220009727 is 72790002282.

It is not a de Polignac number, because 28220009727 - 26 = 28220009663 is a prime.

It is a super-2 number, since 2×282200097272 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28220009717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2733858 + ... + 2744160.

It is an arithmetic number, because the mean of its divisors is an integer number (738590720).

Almost surely, 228220009727 is an apocalyptic number.

28220009727 is a deficient number, since it is larger than the sum of its proper divisors (19049796353).

28220009727 is a wasteful number, since it uses less digits than its factorization.

28220009727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532.

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 28220009727 in words is "twenty-eight billion, two hundred twenty million, nine thousand, seven hundred twenty-seven".

Divisors: 1 3 7 13 21 39 79 91 127 237 273 381 553 889 1027 1651 1659 2667 3081 4953 7189 10033 10303 11557 21567 30099 30909 34671 70231 72121 130429 133939 210693 216363 391287 401817 813937 913003 937573 1308481 2441811 2739009 2812719 3925443 5697559 9159367 10581181 17010253 17092677 27478101 31743543 51030759 74068267 103369999 119071771 222204801 310109997 357215313 723589993 1343809987 2170769979 4031429961 9406669909 28220009727