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28318752 = 25327111277
BaseRepresentation
bin110110000000…
…1110000100000
31222021202000200
41230001300200
524222200002
62450545200
7462463650
oct154016040
958252020
1028318752
1114a92330
129598200
135b36977
143a92360
152745b1c
hex1b01c20

28318752 has 144 divisors (see below), whose sum is σ = 100481472. Its totient is φ = 7349760.

The previous prime is 28318729. The next prime is 28318757. The reversal of 28318752 is 25781382.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (28318757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21538 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (697788).

Almost surely, 228318752 is an apocalyptic number.

28318752 is a gapful number since it is divisible by the number (22) 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 28318752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50240736).

28318752 is an abundant number, since it is smaller than the sum of its proper divisors (72162720).

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

28318752 is a wasteful number, since it uses less digits than its factorization.

28318752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28318752 is about 5321.5366201878. The cubic root of 28318752 is about 304.8068363937.

The spelling of 28318752 in words is "twenty-eight million, three hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1277 1386 1584 1848 2016 2464 2554 2772 3168 3696 3831 5108 5544 7392 7662 8939 10216 11088 11493 14047 15324 17878 20432 22176 22986 26817 28094 30648 35756 40864 42141 45972 53634 56188 61296 71512 80451 84282 91944 98329 107268 112376 122592 126423 143024 160902 168564 183888 196658 214536 224752 252846 286048 294987 321804 337128 367776 393316 429072 449504 505692 589974 643608 674256 786632 858144 884961 1011384 1179948 1287216 1348512 1573264 1769922 2022768 2359896 2574432 3146528 3539844 4045536 4719792 7079688 9439584 14159376 28318752