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28002816 = 293259103
BaseRepresentation
bin110101011010…
…0101000000000
31221200200122100
41222310220000
524132042231
62440110400
7460006602
oct152645000
957620570
1028002816
1114896a26
129465400
135a55c1a
143a0d172
1526d21e6
hex1ab4a00

28002816 has 120 divisors (see below), whose sum is σ = 82985760. Its totient is φ = 9086976.

The previous prime is 28002811. The next prime is 28002817. The reversal of 28002816 is 61820082.

It is a self number, because there is not a number n which added to its sum of digits gives 28002816.

It is not an unprimeable number, because it can be changed into a prime (28002811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271821 + ... + 271923.

It is an arithmetic number, because the mean of its divisors is an integer number (691548).

Almost surely, 228002816 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 28002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492880).

28002816 is an abundant number, since it is smaller than the sum of its proper divisors (54982944).

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

28002816 is a wasteful number, since it uses less digits than its factorization.

28002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28002816 is about 5291.7687024283. The cubic root of 28002816 is about 303.6690766493.

Adding to 28002816 its reverse (61820082), we get a palindrome (89822898).

The spelling of 28002816 in words is "twenty-eight million, two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 103 118 128 144 177 192 206 236 256 288 309 354 384 412 472 512 531 576 618 708 768 824 927 944 1062 1152 1236 1416 1536 1648 1854 1888 2124 2304 2472 2832 3296 3708 3776 4248 4608 4944 5664 6077 6592 7416 7552 8496 9888 11328 12154 13184 14832 15104 16992 18231 19776 22656 24308 26368 29664 30208 33984 36462 39552 45312 48616 52736 54693 59328 67968 72924 79104 90624 97232 109386 118656 135936 145848 158208 194464 218772 237312 271872 291696 388928 437544 474624 583392 777856 875088 1166784 1555712 1750176 2333568 3111424 3500352 4667136 7000704 9334272 14001408 28002816