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28236672 = 2732127193
BaseRepresentation
bin110101110110…
…1101110000000
31222010120102200
41223231232000
524212033142
62445113200
7462002442
oct153555600
958116380
1028236672
1114a366a2
129558800
135b084b9
143a70492
15272b64c
hex1aedb80

28236672 has 96 divisors (see below), whose sum is σ = 82318080. Its totient is φ = 9289728.

The previous prime is 28236647. The next prime is 28236673. The reversal of 28236672 is 27663282.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28236673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 146208 + ... + 146400.

It is an arithmetic number, because the mean of its divisors is an integer number (857480).

Almost surely, 228236672 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 28236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41159040).

28236672 is an abundant number, since it is smaller than the sum of its proper divisors (54081408).

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

28236672 is a wasteful number, since it uses less digits than its factorization.

28236672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 28236672 is about 5313.8189656781. The cubic root of 28236672 is about 304.5120640387.

The spelling of 28236672 in words is "twenty-eight million, two hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 193 254 288 381 384 386 508 576 579 762 772 1016 1143 1152 1158 1524 1544 1737 2032 2286 2316 3048 3088 3474 4064 4572 4632 6096 6176 6948 8128 9144 9264 12192 12352 13896 16256 18288 18528 24384 24511 24704 27792 36576 37056 48768 49022 55584 73152 73533 74112 98044 111168 146304 147066 196088 220599 222336 294132 392176 441198 588264 784352 882396 1176528 1568704 1764792 2353056 3137408 3529584 4706112 7059168 9412224 14118336 28236672