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28109952 = 2732131877
BaseRepresentation
bin110101100111…
…0110010000000
31221220010121100
41223032302000
524144004302
62442254400
7460634133
oct153166200
957803540
1028109952
111495a472
1294b7400
135a92910
143a3a21a
152703d1c
hex1acec80

28109952 has 96 divisors (see below), whose sum is σ = 87157980. Its totient is φ = 8644608.

The previous prime is 28109951. The next prime is 28109957. The reversal of 28109952 is 25990182.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 484416 = 5256^2 + 696^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (28109951) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14038 + ... + 15914.

Almost surely, 228109952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43578990).

28109952 is an abundant number, since it is smaller than the sum of its proper divisors (59048028).

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

28109952 is a wasteful number, since it uses less digits than its factorization.

28109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 28109952 is about 5301.8819300320. The cubic root of 28109952 is about 304.0558530802.

The spelling of 28109952 in words is "twenty-eight million, one hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 1877 2496 3744 3754 4992 5631 7488 7508 11262 14976 15016 16893 22524 24401 30032 33786 45048 48802 60064 67572 73203 90096 97604 120128 135144 146406 180192 195208 219609 240256 270288 292812 360384 390416 439218 540576 585624 720768 780832 878436 1081152 1171248 1561664 1756872 2162304 2342496 3123328 3513744 4684992 7027488 9369984 14054976 28109952