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28026737460928 = 261943188760289
BaseRepresentation
bin1100101111101011110111…
…01110110000011011000000
310200020022220112002122122201
412113311323232300123000
512133142224242222203
6135335145550442544
75621602452506233
oct627657356603300
9120208815078581
1028026737460928
118a26088706418
123187929803454
131283baa37589b
146cc70391b41a
1533908e2c1e1d
hex197d7bbb06c0

28026737460928 has 112 divisors (see below), whose sum is σ = 58745649945600. Its totient is φ = 13229868810240.

The previous prime is 28026737460811. The next prime is 28026737460971. The reversal of 28026737460928 is 82906473762082.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 28026737460928.

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, 464843008 + ... + 464903296.

Almost surely, 228026737460928 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 28026737460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29372824972800).

28026737460928 is an abundant number, since it is smaller than the sum of its proper divisors (30718912484672).

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

28026737460928 is a wasteful number, since it uses less digits than its factorization.

28026737460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61638 (or 61628 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 28026737460928 in words is "twenty-eight trillion, twenty-six billion, seven hundred thirty-seven million, four hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 431 608 862 887 1216 1724 1774 3448 3548 6896 7096 8189 13792 14192 16378 16853 27584 28384 32756 33706 56768 60289 65512 67412 120578 131024 134824 241156 262048 269648 382297 482312 524096 539296 764594 964624 1078592 1145491 1529188 1929248 2290982 3058376 3858496 4581964 6116752 7263643 9163928 12233504 14527286 18327856 24467008 25984559 29054572 36655712 51969118 53476343 58109144 73311424 103938236 106952686 116218288 207876472 213905372 232436576 415752944 427810744 464873152 493706621 831505888 855621488 987413242 1016050517 1663011776 1711242976 1974826484 2032101034 3422485952 3949652968 4064202068 7899305936 8128404136 15798611872 16256808272 23048303833 31597223744 32513616544 46096607666 65027233088 92193215332 184386430664 368772861328 437917772827 737545722656 875835545654 1475091445312 1751671091308 3503342182616 7006684365232 14013368730464 28026737460928