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28317744 = 24327132161
BaseRepresentation
bin110110000000…
…1100000110000
31222021200122100
41230001200300
524222131434
62450540400
7462461010
oct154014060
958250570
1028317744
1114a915a4
129597700
135b36380
143a91c40
152745699
hex1b01830

28317744 has 120 divisors (see below), whose sum is σ = 97584032. Its totient is φ = 7464960.

The previous prime is 28317727. The next prime is 28317749. The reversal of 28317744 is 44771382.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28317699 and 28317708.

It is not an unprimeable number, because it can be changed into a prime (28317749) 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, 12024 + ... + 14184.

Almost surely, 228317744 is an apocalyptic number.

28317744 is a gapful number since it is divisible by the number (24) 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 28317744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48792016).

28317744 is an abundant number, since it is smaller than the sum of its proper divisors (69266288).

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

28317744 is a wasteful number, since it uses less digits than its factorization.

28317744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2186 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 28317744 is about 5321.4419098586. The cubic root of 28317744 is about 304.8032198391.

The spelling of 28317744 in words is "twenty-eight million, three hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2161 2184 3276 4322 4368 6483 6552 8644 12966 13104 15127 17288 19449 25932 28093 30254 34576 38898 45381 51864 56186 60508 77796 84279 90762 103728 112372 121016 136143 155592 168558 181524 196651 224744 242032 252837 272286 311184 337116 363048 393302 449488 505674 544572 589953 674232 726096 786604 1011348 1089144 1179906 1348464 1573208 1769859 2022696 2178288 2359812 3146416 3539718 4045392 4719624 7079436 9439248 14158872 28317744