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28054728 = 23331397103
BaseRepresentation
bin110101100000…
…1010011001000
31221210022212000
41223001103020
524140222403
62441151000
7460314132
oct153012310
957708760
1028054728
1114921a29
12948b460
135a73740
143a24052
1526e27a3
hex1ac14c8

28054728 has 128 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 8460288.

The previous prime is 28054699. The next prime is 28054729. The reversal of 28054728 is 82745082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28054692 and 28054701.

It is not an unprimeable number, because it can be changed into a prime (28054729) 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, 272325 + ... + 272427.

It is an arithmetic number, because the mean of its divisors is an integer number (668850).

Almost surely, 228054728 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 28054728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42806400).

28054728 is an abundant number, since it is smaller than the sum of its proper divisors (57558072).

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

28054728 is a wasteful number, since it uses less digits than its factorization.

28054728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28054728 is about 5296.6714075918. The cubic root of 28054728 is about 303.8566094307.

It can be divided in two parts, 28054 and 728, that added together give a palindrome (28782).

The spelling of 28054728 in words is "twenty-eight million, fifty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 97 103 104 108 117 156 194 206 216 234 291 309 312 351 388 412 468 582 618 702 776 824 873 927 936 1164 1236 1261 1339 1404 1746 1854 2328 2472 2522 2619 2678 2781 2808 3492 3708 3783 4017 5044 5238 5356 5562 6984 7416 7566 8034 9991 10088 10476 10712 11124 11349 12051 15132 16068 19982 20952 22248 22698 24102 29973 30264 32136 34047 36153 39964 45396 48204 59946 68094 72306 79928 89919 90792 96408 119892 129883 136188 144612 179838 239784 259766 269757 272376 289224 359676 389649 519532 539514 719352 779298 1039064 1079028 1168947 1558596 2158056 2337894 3117192 3506841 4675788 7013682 9351576 14027364 28054728