Search a number
-
+
28460880 = 2432575647
BaseRepresentation
bin110110010010…
…0011101010000
31222112221222200
41230210131100
524241222010
62454003200
7463625220
oct154443520
958487880
1028460880
111507a098
129646500
135b86576
143acc080
152772cc0
hex1b24750

28460880 has 120 divisors (see below), whose sum is σ = 109254912. Its totient is φ = 6504192.

The previous prime is 28460869. The next prime is 28460893. The reversal of 28460880 is 8806482.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217 + ... + 7863.

Almost surely, 228460880 is an apocalyptic number.

28460880 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 28460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54627456).

28460880 is an abundant number, since it is smaller than the sum of its proper divisors (80794032).

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

28460880 is a wasteful number, since it uses less digits than its factorization.

28460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28460880 is about 5334.8739441528. The cubic root of 28460880 is about 305.3159138227.

The spelling of 28460880 in words is "twenty-eight million, four hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 5647 11294 16941 22588 28235 33882 39529 45176 50823 56470 67764 79058 84705 90352 101646 112940 118587 135528 158116 169410 197645 203292 225880 237174 254115 271056 316232 338820 355761 395290 406584 451760 474348 508230 592935 632464 677640 711522 790580 813168 948696 1016460 1185870 1355280 1423044 1581160 1778805 1897392 2032920 2371740 2846088 3162320 3557610 4065840 4743480 5692176 7115220 9486960 14230440 28460880