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28013544 = 2332131732
BaseRepresentation
bin110101011011…
…1001111101000
31221201020100200
41222313033220
524132413134
62440232200
7460053066
oct152671750
957636320
1028013544
11148a3a99
12946b660
135a5aa80
143a13036
1526d5499
hex1ab73e8

28013544 has 72 divisors (see below), whose sum is σ = 82181190. Its totient is φ = 8569728.

The previous prime is 28013539. The next prime is 28013561. The reversal of 28013544 is 44531082.

It can be written as a sum of positive squares in 3 ways, for example, as 27688644 + 324900 = 5262^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161842 + ... + 162014.

Almost surely, 228013544 is an apocalyptic number.

28013544 is a gapful number since it is divisible by the number (24) 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 28013544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41090595).

28013544 is an abundant number, since it is smaller than the sum of its proper divisors (54167646).

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

28013544 is a wasteful number, since it uses less digits than its factorization.

28013544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28013544 is about 5292.7822551093. The cubic root of 28013544 is about 303.7078506774.

It can be divided in two parts, 280 and 13544, that added together give a cube (13824 = 243).

The spelling of 28013544 in words is "twenty-eight million, thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 173 234 312 346 468 519 692 936 1038 1384 1557 2076 2249 3114 4152 4498 6228 6747 8996 12456 13494 17992 20241 26988 29929 40482 53976 59858 80964 89787 119716 161928 179574 239432 269361 359148 389077 538722 718296 778154 1077444 1167231 1556308 2154888 2334462 3112616 3501693 4668924 7003386 9337848 14006772 28013544