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28005936 = 2437174903
BaseRepresentation
bin110101011010…
…1011000110000
31221200211220220
41222311120300
524132142221
62440133040
7460021650
oct152653060
957624826
1028005936
1114899302
129467180
135a5747a
143a10360
1526d30c6
hex1ab5630

28005936 has 80 divisors (see below), whose sum is σ = 87565824. Its totient is φ = 7529472.

The previous prime is 28005917. The next prime is 28005941. The reversal of 28005936 is 63950082.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28005897 and 28005906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261 + ... + 8163.

Almost surely, 228005936 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 28005936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43782912).

28005936 is an abundant number, since it is smaller than the sum of its proper divisors (59559888).

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

28005936 is a wasteful number, since it uses less digits than its factorization.

28005936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 28005936 is about 5292.0634916826. The cubic root of 28005936 is about 303.6803542334.

The spelling of 28005936 in words is "twenty-eight million, five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 4903 5712 9806 14709 19612 29418 34321 39224 58836 68642 78448 83351 102963 117672 137284 166702 205926 235344 250053 274568 333404 411852 500106 549136 583457 666808 823704 1000212 1166914 1333616 1647408 1750371 2000424 2333828 3500742 4000848 4667656 7001484 9335312 14002968 28005936