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28107744 = 2537151277
BaseRepresentation
bin110101100111…
…0001111100000
31221220000120120
41223032033200
524143421434
62442240240
7460624530
oct153161740
957800516
1028107744
1114958845
1294b6080
135a91902
143a394c0
152703349
hex1ace3e0

28107744 has 96 divisors (see below), whose sum is σ = 85188096. Its totient is φ = 7948800.

The previous prime is 28107727. The next prime is 28107769. The reversal of 28107744 is 44770182.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 101334 + ... + 101610.

It is an arithmetic number, because the mean of its divisors is an integer number (887376).

Almost surely, 228107744 is an apocalyptic number.

28107744 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 28107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42594048).

28107744 is an abundant number, since it is smaller than the sum of its proper divisors (57080352).

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

28107744 is a wasteful number, since it uses less digits than its factorization.

28107744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 28107744 is about 5301.6736979939. The cubic root of 28107744 is about 304.0478918084.

The spelling of 28107744 in words is "twenty-eight million, one hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 277 302 336 453 554 604 672 831 906 1057 1108 1208 1662 1812 1939 2114 2216 2416 3171 3324 3624 3878 4228 4432 4832 5817 6342 6648 7248 7756 8456 8864 11634 12684 13296 14496 15512 16912 23268 25368 26592 31024 33824 41827 46536 50736 62048 83654 93072 101472 125481 167308 186144 250962 292789 334616 501924 585578 669232 878367 1003848 1171156 1338464 1756734 2007696 2342312 3513468 4015392 4684624 7026936 9369248 14053872 28107744