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28112448 = 2637131609
BaseRepresentation
bin110101100111…
…1011001000000
31221220021000210
41223033121000
524144044243
62442314120
7460644330
oct153173100
957807023
1028112448
1114961331
1294b8940
135a93ab0
143a3b0c0
152704933
hex1acf640

28112448 has 112 divisors (see below), whose sum is σ = 91602560. Its totient is φ = 7409664.

The previous prime is 28112423. The next prime is 28112473. The reversal of 28112448 is 84421182.

It is an interprime number because it is at equal distance from previous prime (28112423) and next prime (28112473).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16668 + ... + 18276.

It is an arithmetic number, because the mean of its divisors is an integer number (817880).

Almost surely, 228112448 is an apocalyptic number.

28112448 is a gapful number since it is divisible by the number (28) 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 28112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801280).

28112448 is an abundant number, since it is smaller than the sum of its proper divisors (63490112).

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

28112448 is a wasteful number, since it uses less digits than its factorization.

28112448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 28112448 is about 5302.1173129232. The cubic root of 28112448 is about 304.0648522767.

The spelling of 28112448 in words is "twenty-eight million, one hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1609 2184 2496 2912 3218 4368 4827 5824 6436 8736 9654 11263 12872 17472 19308 20917 22526 25744 33789 38616 41834 45052 51488 62751 67578 77232 83668 90104 102976 125502 135156 146419 154464 167336 180208 251004 270312 292838 308928 334672 360416 439257 502008 540624 585676 669344 720832 878514 1004016 1081248 1171352 1338688 1757028 2008032 2162496 2342704 3514056 4016064 4685408 7028112 9370816 14056224 28112448