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28680828 = 223113143163
BaseRepresentation
bin110110101101…
…0001001111100
31222222010200220
41231122021330
524320241303
62502421340
7465532401
oct155321174
958863626
1028680828
111520a370
129731850
135c32707
143b482a8
1527b8053
hex1b5a27c

28680828 has 96 divisors (see below), whose sum is σ = 77586432. Its totient is φ = 8164800.

The previous prime is 28680811. The next prime is 28680829. The reversal of 28680828 is 82808682.

It is a self number, because there is not a number n which added to its sum of digits gives 28680828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28680829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175875 + ... + 176037.

It is an arithmetic number, because the mean of its divisors is an integer number (808192).

Almost surely, 228680828 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 28680828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38793216).

28680828 is an abundant number, since it is smaller than the sum of its proper divisors (48905604).

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

28680828 is a wasteful number, since it uses less digits than its factorization.

28680828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 28680828 is about 5355.4484406070. The cubic root of 28680828 is about 306.1003985137.

The spelling of 28680828 in words is "twenty-eight million, six hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 43 44 62 66 86 93 124 129 132 163 172 186 258 326 341 372 473 489 516 652 682 946 978 1023 1333 1364 1419 1793 1892 1956 2046 2666 2838 3586 3999 4092 5053 5332 5379 5676 7009 7172 7998 10106 10758 14018 14663 15159 15996 20212 21027 21516 28036 29326 30318 42054 43989 55583 58652 60636 77099 84108 87978 111166 154198 166749 175956 217279 222332 231297 308396 333498 434558 462594 651837 666996 869116 925188 1303674 2390069 2607348 4780138 7170207 9560276 14340414 28680828