Search a number
-
+
28251030580728 = 23359128337394159
BaseRepresentation
bin1100110110001101101001…
…01001000110110111111000
310201000202211220011200121220
412123012310221012313320
512200331102312040403
6140030202210432040
75644032605536344
oct633066451066770
9121022756150556
1028251030580728
11900221629502a
1232032a4b92620
13129c0a3620357
146d950013a624
1533ed1a337953
hex19b1b4a46df8

28251030580728 has 128 divisors (see below), whose sum is σ = 71917148160000. Its totient is φ = 9245486904192.

The previous prime is 28251030580699. The next prime is 28251030580831. The reversal of 28251030580728 is 82708503015282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6792743913 + ... + 6792748071.

It is an arithmetic number, because the mean of its divisors is an integer number (561852720000).

Almost surely, 228251030580728 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 28251030580728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35958574080000).

28251030580728 is an abundant number, since it is smaller than the sum of its proper divisors (43666117579272).

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

28251030580728 is a wasteful number, since it uses less digits than its factorization.

28251030580728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 28251030580728 in words is "twenty-eight trillion, two hundred fifty-one billion, thirty million, five hundred eighty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1283 1416 2566 3739 3849 4159 5132 7478 7698 8318 10264 11217 12477 14956 15396 16636 22434 24954 29912 30792 33272 44868 49908 75697 89736 99816 151394 220601 227091 245381 302788 441202 454182 490762 605576 661803 736143 882404 908364 981524 1323606 1472286 1764808 1816728 1963048 2647212 2944572 4797137 5294424 5335997 5889144 9594274 10671994 14391411 15550501 16007991 19188548 21343988 28782822 31101002 32015982 38377096 42687976 46651503 57565644 62202004 64031964 93303006 115131288 124404008 128063928 186606012 283031083 314823823 373212024 566062166 629647646 849093249 917479559 944471469 1132124332 1259295292 1698186498 1834959118 1888942938 2264248664 2518590584 2752438677 3396372996 3669918236 3777885876 5504877354 6792745992 7339836472 7555771752 11009754708 19951292783 22019509416 39902585566 59853878349 79805171132 119707756698 159610342264 239415513396 478831026792 1177126274197 2354252548394 3531378822591 4708505096788 7062757645182 9417010193576 14125515290364 28251030580728