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28032576 = 26311131021
BaseRepresentation
bin110101011101…
…1111001000000
31221202012110120
41222323321000
524134020301
62440500240
7460162425
oct152737100
957665416
1028032576
1114907320
12947a680
135a66630
143a19d4c
1526dae36
hex1abbe40

28032576 has 112 divisors (see below), whose sum is σ = 87221568. Its totient is φ = 7833600.

The previous prime is 28032553. The next prime is 28032617. The reversal of 28032576 is 67523082.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26946 + ... + 27966.

It is an arithmetic number, because the mean of its divisors is an integer number (778764).

Almost surely, 228032576 is an apocalyptic number.

28032576 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 28032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43610784).

28032576 is an abundant number, since it is smaller than the sum of its proper divisors (59188992).

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

28032576 is a wasteful number, since it uses less digits than its factorization.

28032576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 28032576 is about 5294.5798700180. The cubic root of 28032576 is about 303.7766133602.

The spelling of 28032576 in words is "twenty-eight million, thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1021 1056 1144 1248 1716 2042 2112 2288 2496 3063 3432 4084 4576 6126 6864 8168 9152 11231 12252 13273 13728 16336 22462 24504 26546 27456 32672 33693 39819 44924 49008 53092 65344 67386 79638 89848 98016 106184 134772 146003 159276 179696 196032 212368 269544 292006 318552 359392 424736 438009 539088 584012 637104 718784 849472 876018 1078176 1168024 1274208 1752036 2156352 2336048 2548416 3504072 4672096 7008144 9344192 14016288 28032576