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28055835756 = 22331334995711
BaseRepresentation
bin11010001000010000…
…100001010001101100
32200102021000010102000
4122020100201101230
5424424243221011
620515541532300
72012151445344
oct321020412154
980367003360
1028055835756
1110997873723
12552ba14090
13285166a460
141502165d24
15ae30e5356
hex68842146c

28055835756 has 96 divisors (see below), whose sum is σ = 78368640000. Its totient is φ = 8628586560.

The previous prime is 28055835751. The next prime is 28055835763. The reversal of 28055835756 is 65753855082.

It is a happy number.

28055835756 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 583 + 5 + 7 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28055835751) 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, 4909741 + ... + 4915451.

It is an arithmetic number, because the mean of its divisors is an integer number (816340000).

Almost surely, 228055835756 is an apocalyptic number.

28055835756 is a gapful number since it is divisible by the number (26) 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 28055835756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184320000).

28055835756 is an abundant number, since it is smaller than the sum of its proper divisors (50312804244).

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

28055835756 is a wasteful number, since it uses less digits than its factorization.

28055835756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 28055835756 in words is "twenty-eight billion, fifty-five million, eight hundred thirty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3499 5711 6998 10497 11422 13996 17133 20994 22844 31491 34266 41988 45487 51399 62982 68532 74243 90974 94473 102798 125964 136461 148486 154197 181948 188946 205596 222729 272922 296972 308394 377892 409383 445458 545844 616788 668187 818766 890916 1228149 1336374 1637532 2004561 2456298 2672748 4009122 4912596 8018244 19982789 39965578 59948367 79931156 119896734 179845101 239793468 259776257 359690202 519552514 539535303 719380404 779328771 1039105028 1079070606 1558657542 2158141212 2337986313 3117315084 4675972626 7013958939 9351945252 14027917878 28055835756