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28518633840972 = 223118313811884877
BaseRepresentation
bin1100111110000000000110…
…00010100010000101001100
310201222100120121220211010210
412133000003002202011030
512214222130230402342
6140353140213202420
76002255221655502
oct637000302420514
9121870517824123
1028518633840972
1190a5759362240
123247128930410
1312bb3ac670162
147084487c2672
15346c7d78c79c
hex19f0030a214c

28518633840972 has 96 divisors (see below), whose sum is σ = 73520737000704. Its totient is φ = 8531702726400.

The previous prime is 28518633840937. The next prime is 28518633840979. The reversal of 28518633840972 is 27904833681582.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (28518633840979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14187798 + ... + 16072674.

It is an arithmetic number, because the mean of its divisors is an integer number (765841010424).

It is a 2-persistent number, because it is pandigital, and so is 2⋅28518633840972 = 57037267681944, but 3⋅28518633840972 = 85555901522916 is not.

Almost surely, 228518633840972 is an apocalyptic number.

28518633840972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28518633840972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36760368500352).

28518633840972 is an abundant number, since it is smaller than the sum of its proper divisors (45002103159732).

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

28518633840972 is a wasteful number, since it uses less digits than its factorization.

28518633840972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886359 (or 1886357 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 28518633840972 in words is "twenty-eight trillion, five hundred eighteen billion, six hundred thirty-three million, eight hundred forty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1381 1826 2739 2762 3652 4143 5478 5524 8286 10956 15191 16572 30382 45573 60764 91146 114623 182292 229246 343869 458492 687738 1260853 1375476 1884877 2521706 3769754 3782559 5043412 5654631 7539508 7565118 11309262 15130236 20733647 22618524 41467294 62200941 82934588 124401882 156444791 248803764 312889582 469334373 625779164 938668746 1720892701 1877337492 2603015137 3441785402 5162678103 5206030274 6883570804 7809045411 10325356206 10412060548 15618090822 20650712412 28633166507 31236181644 57266333014 85899499521 114532666028 171798999042 216050256371 343597998084 432100512742 648150769113 864201025484 1296301538226 2376552820081 2592603076452 4753105640162 7129658460243 9506211280324 14259316920486 28518633840972