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28682010 = 2325753859
BaseRepresentation
bin110110101101…
…0011100011010
31222222012022200
41231122130122
524320311020
62502431030
7465536010
oct155323432
958865280
1028682010
1115210245
129732476
135c33106
143b488b0
1527b8590
hex1b5a71a

28682010 has 96 divisors (see below), whose sum is σ = 86935680. Its totient is φ = 6424704.

The previous prime is 28681967. The next prime is 28682011. The reversal of 28682010 is 1028682.

It is not an unprimeable number, because it can be changed into a prime (28682011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32961 + ... + 33819.

It is an arithmetic number, because the mean of its divisors is an integer number (905580).

Almost surely, 228682010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28682010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43467840).

28682010 is an abundant number, since it is smaller than the sum of its proper divisors (58253670).

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

28682010 is a wasteful number, since it uses less digits than its factorization.

28682010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28682010 is about 5355.5587943743. The cubic root of 28682010 is about 306.1046034794.

The spelling of 28682010 in words is "twenty-eight million, six hundred eighty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 859 954 1113 1590 1718 1855 2226 2385 2577 3339 3710 4295 4770 5154 5565 6013 6678 7731 8590 11130 12026 12885 15462 16695 18039 25770 30065 33390 36078 38655 45527 54117 60130 77310 90195 91054 108234 136581 180390 227635 270585 273162 318689 409743 455270 541170 637378 682905 819486 956067 1365810 1593445 1912134 2048715 2868201 3186890 4097430 4780335 5736402 9560670 14341005 28682010