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28355124 = 22373832
BaseRepresentation
bin110110000101…
…0101000110100
31222100120220210
41230022220310
524224330444
62451425420
7463005000
oct154125064
958316823
1028355124
1115007696
1295b5270
135b4a3a5
143aa1700
1527517b9
hex1b0aa34

28355124 has 72 divisors (see below), whose sum is σ = 78097600. Its totient is φ = 8003856.

The previous prime is 28355123. The next prime is 28355143. The reversal of 28355124 is 42155382.

It is a junction number, because it is equal to n+sod(n) for n = 28355091 and 28355100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28355123) 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 23 ways as a sum of consecutive naturals, for example, 341587 + ... + 341669.

Almost surely, 228355124 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 28355124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39048800).

28355124 is an abundant number, since it is smaller than the sum of its proper divisors (49742476).

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

28355124 is an equidigital number, since it uses as much as digits as its factorization.

28355124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 28355124 is about 5324.9529575387. The cubic root of 28355124 is about 304.9372763608.

The spelling of 28355124 in words is "twenty-eight million, three hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 343 498 581 588 686 996 1029 1162 1372 1743 2058 2324 3486 4067 4116 6889 6972 8134 12201 13778 16268 20667 24402 27556 28469 41334 48223 48804 56938 82668 85407 96446 113876 144669 170814 192892 289338 337561 341628 578676 675122 1012683 1350244 2025366 2362927 4050732 4725854 7088781 9451708 14177562 28355124