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28463981952 = 273749921221
BaseRepresentation
bin11010100000100101…
…011110010110000000
32201110201000002201210
4122200211132112000
5431243234410302
621024241530120
72025235566060
oct324045362600
981421002653
1028463981952
11110871a2a2a
125624643940
1328b80a1893
14154044b3a0
15b18d6766c
hex6a095e580

28463981952 has 128 divisors (see below), whose sum is σ = 86585760000. Its totient is φ = 8115886080.

The previous prime is 28463981929. The next prime is 28463981963. The reversal of 28463981952 is 25918936482.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 28463981892 and 28463981901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330702 + ... + 1351922.

It is an arithmetic number, because the mean of its divisors is an integer number (676451250).

Almost surely, 228463981952 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 28463981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292880000).

28463981952 is an abundant number, since it is smaller than the sum of its proper divisors (58121778048).

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

28463981952 is a wasteful number, since it uses less digits than its factorization.

28463981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21744 (or 21732 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 28463981952 in words is "twenty-eight billion, four hundred sixty-three million, nine hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 499 672 896 998 1344 1497 1996 2688 2994 3493 3992 5988 6986 7984 10479 11976 13972 15968 20958 21221 23952 27944 31936 41916 42442 47904 55888 63663 63872 83832 84884 95808 111776 127326 148547 167664 169768 191616 223552 254652 297094 335328 339536 445641 447104 509304 594188 670656 679072 891282 1018608 1188376 1341312 1358144 1782564 2037216 2376752 2716288 3565128 4074432 4753504 7130256 8148864 9507008 10589279 14260512 19014016 21178558 28521024 31767837 42357116 57042048 63535674 74124953 84714232 127071348 148249906 169428464 222374859 254142696 296499812 338856928 444749718 508285392 592999624 677713856 889499436 1016570784 1185999248 1355427712 1778998872 2033141568 2371998496 3557997744 4066283136 4743996992 7115995488 9487993984 14231990976 28463981952