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28006832 = 2472139257
BaseRepresentation
bin110101011010…
…1100110110000
31221200220011002
41222311212300
524132204312
62440141132
7460024400
oct152654660
957626132
1028006832
1114899a47
1294677a8
135a579b9
143a10800
1526d34c2
hex1ab59b0

28006832 has 60 divisors (see below), whose sum is σ = 63824040. Its totient is φ = 11870208.

The previous prime is 28006829. The next prime is 28006859. The reversal of 28006832 is 23860082.

It is a junction number, because it is equal to n+sod(n) for n = 28006795 and 28006804.

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 11 ways as a sum of consecutive naturals, for example, 108848 + ... + 109104.

It is an arithmetic number, because the mean of its divisors is an integer number (1063734).

Almost surely, 228006832 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 28006832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31912020).

28006832 is an abundant number, since it is smaller than the sum of its proper divisors (35817208).

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

28006832 is a wasteful number, since it uses less digits than its factorization.

28006832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 28006832 is about 5292.1481460745. The cubic root of 28006832 is about 303.6835927694.

The spelling of 28006832 in words is "twenty-eight million, six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 139 196 257 278 392 514 556 784 973 1028 1112 1799 1946 2056 2224 3598 3892 4112 6811 7196 7784 12593 13622 14392 15568 25186 27244 28784 35723 50372 54488 71446 100744 108976 142892 201488 250061 285784 500122 571568 1000244 1750427 2000488 3500854 4000976 7001708 14003416 28006832