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28827540 = 223257137167
BaseRepresentation
bin110110111110…
…1111110010100
32000020120221200
41231331332110
524334440130
62505512500
7500013210
oct155757624
960216850
1028827540
11152aa615
1297a2730
135c84421
143b85940
1527e6760
hex1b7df94

28827540 has 144 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 6501888.

The previous prime is 28827517. The next prime is 28827553. The reversal of 28827540 is 4572882.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 28827495 and 28827504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172537 + ... + 172703.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 228827540 is an apocalyptic number.

28827540 is a gapful number since it is divisible by the number (20) 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 28827540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

28827540 is an abundant number, since it is smaller than the sum of its proper divisors (72440172).

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

28827540 is a wasteful number, since it uses less digits than its factorization.

28827540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28827540 is about 5369.1284208892. The cubic root of 28827540 is about 306.6214462833.

The spelling of 28827540 in words is "twenty-eight million, eight hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 167 180 210 252 274 315 334 411 420 501 548 630 668 685 822 835 959 1002 1169 1233 1260 1370 1503 1644 1670 1918 2004 2055 2338 2466 2505 2740 2877 3006 3340 3507 3836 4110 4676 4795 4932 5010 5754 5845 6012 6165 7014 7515 8220 8631 9590 10020 10521 11508 11690 12330 14028 14385 15030 17262 17535 19180 21042 22879 23380 24660 28770 30060 34524 35070 42084 43155 45758 52605 57540 68637 70140 86310 91516 105210 114395 137274 160153 172620 205911 210420 228790 274548 320306 343185 411822 457580 480459 640612 686370 800765 823644 960918 1029555 1372740 1441377 1601530 1921836 2059110 2402295 2882754 3203060 4118220 4804590 5765508 7206885 9609180 14413770 28827540