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28679760 = 2432561653
BaseRepresentation
bin110110101100…
…1111001010000
31222222002020100
41231121321100
524320223020
62502412400
7465526314
oct155317120
958862210
1028679760
111520958a
129731100
135c32095
143b47b44
1527b7a90
hex1b59e50

28679760 has 120 divisors (see below), whose sum is σ = 98045064. Its totient is φ = 7511040.

The previous prime is 28679747. The next prime is 28679771. The reversal of 28679760 is 6797682.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 28259856 = 648^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43594 + ... + 44246.

Almost surely, 228679760 is an apocalyptic number.

28679760 is a gapful number since it is divisible by the number (20) 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 28679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49022532).

28679760 is an abundant number, since it is smaller than the sum of its proper divisors (69365304).

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

28679760 is a wasteful number, since it uses less digits than its factorization.

28679760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 28679760 is about 5355.3487281409. The cubic root of 28679760 is about 306.0965990036.

The spelling of 28679760 in words is "twenty-eight million, six hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 653 720 732 915 976 1098 1220 1306 1464 1830 1959 2196 2440 2612 2745 2928 3265 3660 3918 4392 4880 5224 5490 5877 6530 7320 7836 8784 9795 10448 10980 11754 13060 14640 15672 19590 21960 23508 26120 29385 31344 39180 39833 43920 47016 52240 58770 78360 79666 94032 117540 119499 156720 159332 199165 235080 238998 318664 358497 398330 470160 477996 597495 637328 716994 796660 955992 1194990 1433988 1593320 1792485 1911984 2389980 2867976 3186640 3584970 4779960 5735952 7169940 9559920 14339880 28679760