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28072576 = 277171997
BaseRepresentation
bin110101100010…
…1101010000000
31221211020100001
41223011222000
524141310301
62441405344
7460420150
oct153055200
957736301
1028072576
1114934384
129499854
135a7b8bc
143a2a760
1526e7c01
hex1ac5a80

28072576 has 128 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 10616832.

The previous prime is 28072573. The next prime is 28072589. The reversal of 28072576 is 67527082.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (28072573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289360 + ... + 289456.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 228072576 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 28072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

28072576 is an abundant number, since it is smaller than the sum of its proper divisors (43898624).

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

28072576 is a wasteful number, since it uses less digits than its factorization.

28072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 28072576 is about 5298.3559714311. The cubic root of 28072576 is about 303.9210321204.

The spelling of 28072576 in words is "twenty-eight million, seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 97 112 119 128 133 136 152 194 224 238 266 272 304 323 388 448 476 532 544 608 646 679 776 896 952 1064 1088 1216 1292 1358 1552 1649 1843 1904 2128 2176 2261 2432 2584 2716 3104 3298 3686 3808 4256 4522 5168 5432 6208 6596 7372 7616 8512 9044 10336 10864 11543 12416 12901 13192 14744 15232 17024 18088 20672 21728 23086 25802 26384 29488 31331 36176 41344 43456 46172 51604 52768 58976 62662 72352 86912 92344 103208 105536 117952 125324 144704 184688 206416 211072 219317 235904 250648 289408 369376 412832 438634 501296 738752 825664 877268 1002592 1477504 1651328 1754536 2005184 3509072 4010368 7018144 14036288 28072576