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28445040 = 24335131013
BaseRepresentation
bin110110010000…
…0100101110000
31222112011021000
41230200211300
524240220130
62453402000
7463531101
oct154404560
958464230
1028445040
11150691a8
129639300
135b7c2b0
143ac63a8
15276d260
hex1b20970

28445040 has 160 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 6994944.

The previous prime is 28445009. The next prime is 28445041. The reversal of 28445040 is 4054482.

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

It is a junction number, because it is equal to n+sod(n) for n = 28444995 and 28445013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28445041) 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, 27574 + ... + 28586.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 228445040 is an apocalyptic number.

28445040 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 28445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

28445040 is an abundant number, since it is smaller than the sum of its proper divisors (77173200).

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

28445040 is a wasteful number, since it uses less digits than its factorization.

28445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 28445040 is about 5333.3891663744. The cubic root of 28445040 is about 305.2592617731.

The spelling of 28445040 in words is "twenty-eight million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1013 1040 1080 1170 1404 1560 1755 1872 2026 2160 2340 2808 3039 3120 3510 4052 4680 5065 5616 6078 7020 8104 9117 9360 10130 12156 13169 14040 15195 16208 18234 20260 24312 26338 27351 28080 30390 36468 39507 40520 45585 48624 52676 54702 60780 65845 72936 79014 81040 91170 105352 109404 118521 121560 131690 136755 145872 158028 182340 197535 210704 218808 237042 243120 263380 273510 316056 355563 364680 395070 437616 474084 526760 547020 592605 632112 711126 729360 790140 948168 1053520 1094040 1185210 1422252 1580280 1777815 1896336 2188080 2370420 2844504 3160560 3555630 4740840 5689008 7111260 9481680 14222520 28445040