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28427256 = 233211213251
BaseRepresentation
bin110110001110…
…0001111111000
31222111020212100
41230130033320
524234133011
62453143400
7463425204
oct154341770
958436770
1028427256
1115056900
12962ab60
135b74180
143abdb04
152767d56
hex1b1c3f8

28427256 has 144 divisors (see below), whose sum is σ = 91498680. Its totient is φ = 7920000.

The previous prime is 28427237. The next prime is 28427261. The reversal of 28427256 is 65272482.

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

Its product of digits (53760) is a multiple of the sum of its prime divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 28427256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113131 + ... + 113381.

Almost surely, 228427256 is an apocalyptic number.

28427256 is a gapful number since it is divisible by the number (26) 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 28427256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45749340).

28427256 is an abundant number, since it is smaller than the sum of its proper divisors (63071424).

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

28427256 is a wasteful number, since it uses less digits than its factorization.

28427256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 28427256 is about 5331.7216731559. The cubic root of 28427256 is about 305.1956319046.

The spelling of 28427256 in words is "twenty-eight million, four hundred twenty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 121 132 143 156 198 234 242 251 264 286 312 363 396 429 468 484 502 572 726 753 792 858 936 968 1004 1089 1144 1287 1452 1506 1573 1716 2008 2178 2259 2574 2761 2904 3012 3146 3263 3432 4356 4518 4719 5148 5522 6024 6292 6526 8283 8712 9036 9438 9789 10296 11044 12584 13052 14157 16566 18072 18876 19578 22088 24849 26104 28314 29367 30371 33132 35893 37752 39156 49698 56628 58734 60742 66264 71786 78312 91113 99396 107679 113256 117468 121484 143572 182226 198792 215358 234936 242968 273339 287144 323037 364452 394823 430716 546678 646074 728904 789646 861432 1093356 1184469 1292148 1579292 2186712 2368938 2584296 3158584 3553407 4737876 7106814 9475752 14213628 28427256