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28320084 = 22331323877
BaseRepresentation
bin110110000001…
…0000101010100
31222021210212000
41230002011110
524222220314
62450555300
7462500562
oct154020524
958253760
1028320084
1114a93331
129598b30
135b37460
143a92a32
152746209
hex1b02154

28320084 has 96 divisors (see below), whose sum is σ = 82602240. Its totient is φ = 8325504.

The previous prime is 28320041. The next prime is 28320091. The reversal of 28320084 is 48002382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31854 + ... + 32730.

It is an arithmetic number, because the mean of its divisors is an integer number (860440).

Almost surely, 228320084 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 28320084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41301120).

28320084 is an abundant number, since it is smaller than the sum of its proper divisors (54282156).

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

28320084 is a wasteful number, since it uses less digits than its factorization.

28320084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28320084 is about 5321.6617705375. The cubic root of 28320084 is about 304.8116152806.

The spelling of 28320084 in words is "twenty-eight million, three hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 877 897 1196 1242 1404 1754 1794 2484 2631 2691 3508 3588 5262 5382 7893 8073 10524 10764 11401 15786 16146 20171 22802 23679 31572 32292 34203 40342 45604 47358 60513 68406 80684 94716 102609 121026 136812 181539 205218 242052 262223 307827 363078 410436 524446 544617 615654 726156 786669 1048892 1089234 1231308 1573338 2178468 2360007 3146676 4720014 7080021 9440028 14160042 28320084