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28444680 = 23325112653
BaseRepresentation
bin110110010000…
…0100000001000
31222112010202200
41230200200020
524240212210
62453400200
7463530045
oct154404010
958463680
1028444680
1115068a00
129639060
135b7c094
143ac61cc
15276d0c0
hex1b20808

28444680 has 144 divisors (see below), whose sum is σ = 101768940. Its totient is φ = 6885120.

The previous prime is 28444657. The next prime is 28444697. The reversal of 28444680 is 8644482.

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 1258884 = 5214^2 + 1122^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43234 + ... + 43886.

Almost surely, 228444680 is an apocalyptic number.

28444680 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 28444680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50884470).

28444680 is an abundant number, since it is smaller than the sum of its proper divisors (73324260).

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

28444680 is a wasteful number, since it uses less digits than its factorization.

28444680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28444680 is about 5333.3554166209. The cubic root of 28444680 is about 305.2579739821.

The spelling of 28444680 in words is "twenty-eight million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 653 660 726 792 968 990 1089 1210 1306 1320 1452 1815 1959 1980 2178 2420 2612 2904 3265 3630 3918 3960 4356 4840 5224 5445 5877 6530 7183 7260 7836 8712 9795 10890 11754 13060 14366 14520 15672 19590 21549 21780 23508 26120 28732 29385 35915 39180 43098 43560 47016 57464 58770 64647 71830 78360 79013 86196 107745 117540 129294 143660 158026 172392 215490 235080 237039 258588 287320 316052 323235 395065 430980 474078 517176 632104 646470 711117 790130 861960 948156 1185195 1292940 1422234 1580260 1896312 2370390 2585880 2844468 3160520 3555585 4740780 5688936 7111170 9481560 14222340 28444680