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28344680 = 2357132599
BaseRepresentation
bin110110000100…
…0000101101000
31222100001120222
41230020011220
524224012210
62451305212
7462632360
oct154100550
958301528
1028344680
1114aaa861
1295ab208
135b45700
143a9b9a0
15274d655
hex1b08168

28344680 has 96 divisors (see below), whose sum is σ = 79056000. Its totient is φ = 8955648.

The previous prime is 28344649. The next prime is 28344689. The reversal of 28344680 is 8644382.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28344680.

It is not an unprimeable number, because it can be changed into a prime (28344689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47021 + ... + 47619.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 228344680 is an apocalyptic number.

28344680 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 28344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528000).

28344680 is an abundant number, since it is smaller than the sum of its proper divisors (50711320).

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

28344680 is a wasteful number, since it uses less digits than its factorization.

28344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 28344680 is about 5323.9722012798. The cubic root of 28344680 is about 304.8998327345.

The spelling of 28344680 in words is "twenty-eight million, three hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 599 676 728 845 910 1183 1198 1352 1690 1820 2366 2396 2995 3380 3640 4193 4732 4792 5915 5990 6760 7787 8386 9464 11830 11980 15574 16772 20965 23660 23960 31148 33544 38935 41930 47320 54509 62296 77870 83860 101231 109018 155740 167720 202462 218036 272545 311480 404924 436072 506155 545090 708617 809848 1012310 1090180 1417234 2024620 2180360 2834468 3543085 4049240 5668936 7086170 14172340 28344680