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28640520 = 23335231153
BaseRepresentation
bin110110101000…
…0010100001000
31222220002102000
41231100110020
524312444040
62501511000
7465304026
oct155202410
958802360
1028640520
1115192057
129712460
135c1a26c
143b37716
1527ab130
hex1b50508

28640520 has 128 divisors (see below), whose sum is σ = 99705600. Its totient is φ = 7299072.

The previous prime is 28640519. The next prime is 28640527. The reversal of 28640520 is 2504682.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28640527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24264 + ... + 25416.

It is an arithmetic number, because the mean of its divisors is an integer number (778950).

Almost surely, 228640520 is an apocalyptic number.

28640520 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 28640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49852800).

28640520 is an abundant number, since it is smaller than the sum of its proper divisors (71065080).

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

28640520 is a wasteful number, since it uses less digits than its factorization.

28640520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28640520 is about 5351.6838471644. The cubic root of 28640520 is about 305.9569335777.

The spelling of 28640520 in words is "twenty-eight million, six hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1153 1242 1380 1656 2070 2306 2484 2760 3105 3459 4140 4612 4968 5765 6210 6918 8280 9224 10377 11530 12420 13836 17295 20754 23060 24840 26519 27672 31131 34590 41508 46120 51885 53038 62262 69180 79557 83016 103770 106076 124524 132595 138360 155655 159114 207540 212152 238671 249048 265190 311310 318228 397785 415080 477342 530380 622620 636456 716013 795570 954684 1060760 1193355 1245240 1432026 1591140 1909368 2386710 2864052 3182280 3580065 4773420 5728104 7160130 9546840 14320260 28640520