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28829856 = 25311231187
BaseRepresentation
bin110110111111…
…0100010100000
32000020201010110
41231332202200
524340023411
62505531320
7500023026
oct155764240
960221113
1028829856
1115301330
1297a3b40
135c854b3
143b86716
1527e72a6
hex1b7e8a0

28829856 has 96 divisors (see below), whose sum is σ = 86220288. Its totient is φ = 8349440.

The previous prime is 28829849. The next prime is 28829873. The reversal of 28829856 is 65892882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23695 + ... + 24881.

It is an arithmetic number, because the mean of its divisors is an integer number (898128).

Almost surely, 228829856 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 28829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110144).

28829856 is an abundant number, since it is smaller than the sum of its proper divisors (57390432).

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

28829856 is a wasteful number, since it uses less digits than its factorization.

28829856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1226 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 28829856 is about 5369.3440940212. The cubic root of 28829856 is about 306.6296573696.

The spelling of 28829856 in words is "twenty-eight million, eight hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1187 1518 2024 2208 2374 3036 3561 4048 4748 6072 7122 8096 9496 12144 13057 14244 18992 24288 26114 27301 28488 37984 39171 52228 54602 56976 78342 81903 104456 109204 113952 156684 163806 208912 218408 300311 313368 327612 417824 436816 600622 626736 655224 873632 900933 1201244 1253472 1310448 1801866 2402488 2620896 3603732 4804976 7207464 9609952 14414928 28829856