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28621120 = 2651147173
BaseRepresentation
bin110110100101…
…1100101000000
31222212002210111
41231023211000
524311333440
62501241104
7465163333
oct155134500
958762714
1028621120
1115179520
129703194
135c11498
143b3061a
1527a54ea
hex1b4b940

28621120 has 112 divisors (see below), whose sum is σ = 76370688. Its totient is φ = 10127360.

The previous prime is 28621097. The next prime is 28621121. The reversal of 28621120 is 2112682.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 28621091 and 28621100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28621121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165354 + ... + 165526.

Almost surely, 228621120 is an apocalyptic number.

28621120 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 28621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185344).

28621120 is an abundant number, since it is smaller than the sum of its proper divisors (47749568).

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

28621120 is a wasteful number, since it uses less digits than its factorization.

28621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 28621120 is about 5349.8710264828. The cubic root of 28621120 is about 305.8878367737.

The spelling of 28621120 in words is "twenty-eight million, six hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 173 176 188 220 235 320 346 352 376 440 470 517 692 704 752 865 880 940 1034 1384 1504 1730 1760 1880 1903 2068 2585 2768 3008 3460 3520 3760 3806 4136 5170 5536 6920 7520 7612 8131 8272 9515 10340 11072 13840 15040 15224 16262 16544 19030 20680 27680 30448 32524 33088 38060 40655 41360 55360 60896 65048 76120 81310 82720 89441 121792 130096 152240 162620 165440 178882 260192 304480 325240 357764 447205 520384 608960 650480 715528 894410 1300960 1431056 1788820 2601920 2862112 3577640 5724224 7155280 14310560 28621120