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28707413406 = 23737139347383
BaseRepresentation
bin11010101111000110…
…000101110110011110
32202002200001200220120
4122233012011312132
5432243044212111
621104335255410
72034252662550
oct325706056636
982080050816
1028707413406
11111a164a651
12569207a566
132926654569
1415648d74d0
15b30400406
hex6af185d9e

28707413406 has 128 divisors (see below), whose sum is σ = 68248535040. Its totient is φ = 7879565952.

The previous prime is 28707413401. The next prime is 28707413429. The reversal of 28707413406 is 60431470782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28707413401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74953891 + ... + 74954273.

It is an arithmetic number, because the mean of its divisors is an integer number (533191680).

Almost surely, 228707413406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28707413406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34124267520).

28707413406 is an abundant number, since it is smaller than the sum of its proper divisors (39541121634).

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

28707413406 is a wasteful number, since it uses less digits than its factorization.

28707413406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 28707413406 in words is "twenty-eight billion, seven hundred seven million, four hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 139 222 259 278 347 383 417 518 694 766 777 834 973 1041 1149 1554 1946 2082 2298 2429 2681 2919 4858 5143 5362 5838 7287 8043 10286 12839 14171 14574 15429 16086 25678 28342 30858 36001 38517 42513 48233 53237 72002 77034 85026 89873 96466 99197 106474 108003 132901 144699 159711 179746 198394 216006 265802 269619 289398 297591 319422 337631 372659 398703 539238 595182 675262 745318 797406 930307 1012893 1117977 1784621 1860614 1969769 2025786 2235954 2790921 3569242 3939538 4917337 5353863 5581842 5909307 9834674 10707726 11818614 12492347 13788383 14752011 18473239 24984694 27576766 29504022 34421359 36946478 37477041 41365149 55419717 68842718 74954082 82730298 103264077 110839434 129312673 206528154 258625346 387938019 683509843 775876038 1367019686 2050529529 4101059058 4784568901 9569137802 14353706703 28707413406