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28821520 = 24571337107
BaseRepresentation
bin110110111110…
…0100000010000
32000020021200201
41231330200100
524334242040
62505424544
7466656520
oct155744020
960207621
1028821520
11152a6042
12979b154
135c81770
143b83680
1527e4a9a
hex1b7c810

28821520 has 160 divisors (see below), whose sum is σ = 85494528. Its totient is φ = 8792064.

The previous prime is 28821503. The next prime is 28821539. The reversal of 28821520 is 2512882.

It is a super-2 number, since 2×288215202 = 1661360030220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 269307 + ... + 269413.

Almost surely, 228821520 is an apocalyptic number.

28821520 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 28821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

28821520 is an abundant number, since it is smaller than the sum of its proper divisors (56673008).

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

28821520 is a wasteful number, since it uses less digits than its factorization.

28821520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 28821520 is about 5368.5677792126. The cubic root of 28821520 is about 306.6001010742.

The spelling of 28821520 in words is "twenty-eight million, eight hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 37 40 52 56 65 70 74 80 91 104 107 112 130 140 148 182 185 208 214 259 260 280 296 364 370 428 455 481 518 520 535 560 592 728 740 749 856 910 962 1036 1040 1070 1295 1391 1456 1480 1498 1712 1820 1924 2072 2140 2405 2590 2782 2960 2996 3367 3640 3745 3848 3959 4144 4280 4810 5180 5564 5992 6734 6955 7280 7490 7696 7918 8560 9620 9737 10360 11128 11984 13468 13910 14980 15836 16835 19240 19474 19795 20720 22256 26936 27713 27820 29960 31672 33670 38480 38948 39590 48685 51467 53872 55426 55640 59920 63344 67340 77896 79180 97370 102934 110852 111280 134680 138565 155792 158360 194740 205868 221704 257335 269360 277130 316720 360269 389480 411736 443408 514670 554260 720538 778960 823472 1029340 1108520 1441076 1801345 2058680 2217040 2882152 3602690 4117360 5764304 7205380 14410760 28821520