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28485720 = 23325671181
BaseRepresentation
bin110110010101…
…0100001011000
31222121020001200
41230222201120
524243020340
62454314200
7464060514
oct154524130
958536050
1028485720
111509681a
129658960
135b94973
143ad7144
15277a330
hex1b2a858

28485720 has 96 divisors (see below), whose sum is σ = 94039920. Its totient is φ = 7476480.

The previous prime is 28485701. The next prime is 28485757. The reversal of 28485720 is 2758482.

It is a happy number.

28485720 is a `hidden beast` number, since 2 + 84 + 8 + 572 + 0 = 666.

It is a super-3 number, since 3×284857203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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, 23530 + ... + 24710.

Almost surely, 228485720 is an apocalyptic number.

28485720 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 28485720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47019960).

28485720 is an abundant number, since it is smaller than the sum of its proper divisors (65554200).

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

28485720 is a wasteful number, since it uses less digits than its factorization.

28485720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

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

The square root of 28485720 is about 5337.2015139022. The cubic root of 28485720 is about 305.4047122245.

The spelling of 28485720 in words is "twenty-eight million, four hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1181 1206 1340 1608 2010 2362 2412 2680 3015 3543 4020 4724 4824 5905 6030 7086 8040 9448 10629 11810 12060 14172 17715 21258 23620 24120 28344 35430 42516 47240 53145 70860 79127 85032 106290 141720 158254 212580 237381 316508 395635 425160 474762 633016 712143 791270 949524 1186905 1424286 1582540 1899048 2373810 2848572 3165080 3560715 4747620 5697144 7121430 9495240 14242860 28485720