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28005696 = 263319853
BaseRepresentation
bin110101011010…
…1010101000000
31221200211121000
41222311111000
524132140241
62440132000
7460021155
oct152652500
957624530
1028005696
1114899104
129467000
135a57324
143a1022c
1526d2eb6
hex1ab5540

28005696 has 112 divisors (see below), whose sum is σ = 86766400. Its totient is φ = 8833536.

The previous prime is 28005683. The next prime is 28005701. The reversal of 28005696 is 69650082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28005696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32406 + ... + 33258.

It is an arithmetic number, because the mean of its divisors is an integer number (774700).

Almost surely, 228005696 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 28005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43383200).

28005696 is an abundant number, since it is smaller than the sum of its proper divisors (58760704).

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

28005696 is a wasteful number, since it uses less digits than its factorization.

28005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28005696 is about 5292.0408161691. The cubic root of 28005696 is about 303.6794867567.

The spelling of 28005696 in words is "twenty-eight million, five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 853 864 912 1026 1216 1368 1706 1728 1824 2052 2559 2736 3412 3648 4104 5118 5472 6824 7677 8208 10236 10944 13648 15354 16207 16416 20472 23031 27296 30708 32414 32832 40944 46062 48621 54592 61416 64828 81888 92124 97242 122832 129656 145863 163776 184248 194484 245664 259312 291726 368496 388968 437589 491328 518624 583452 736992 777936 875178 1037248 1166904 1473984 1555872 1750356 2333808 3111744 3500712 4667616 7001424 9335232 14002848 28005696