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28406928 = 2431126773
BaseRepresentation
bin110110001011…
…1010010010000
31222110012222110
41230113102100
524233010203
62452505320
7463312014
oct154272220
958405873
1028406928
1115042600
12961b240
135b67b44
143ab6544
152761d03
hex1b17490

28406928 has 120 divisors (see below), whose sum is σ = 82987744. Its totient is φ = 8363520.

The previous prime is 28406927. The next prime is 28406929. The reversal of 28406928 is 82960482.

It is an interprime number because it is at equal distance from previous prime (28406927) and next prime (28406929).

It is not an unprimeable number, because it can be changed into a prime (28406923) 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 23 ways as a sum of consecutive naturals, for example, 389100 + ... + 389172.

Almost surely, 228406928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28406928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41493872).

28406928 is an abundant number, since it is smaller than the sum of its proper divisors (54580816).

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

28406928 is a wasteful number, since it uses less digits than its factorization.

28406928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28406928 is about 5329.8150061705. The cubic root of 28406928 is about 305.1228672757.

The spelling of 28406928 in words is "twenty-eight million, four hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 73 88 121 132 134 146 176 201 219 242 264 268 292 363 402 438 484 528 536 584 726 737 803 804 876 968 1072 1168 1452 1474 1606 1608 1752 1936 2211 2409 2904 2948 3212 3216 3504 4422 4818 4891 5808 5896 6424 8107 8833 8844 9636 9782 11792 12848 14673 16214 17666 17688 19272 19564 24321 26499 29346 32428 35332 35376 38544 39128 48642 52998 53801 58692 64856 70664 78256 97284 105996 107602 117384 129712 141328 161403 194568 211992 215204 234768 322806 389136 423984 430408 591811 645612 860816 1183622 1291224 1775433 2367244 2582448 3550866 4734488 7101732 9468976 14203464 28406928