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28991029248 = 23033
BaseRepresentation
bin11011000000000000…
…000000000000000000
32202211102201212201000
4123000000000000000
5433333200413443
621152430212000
72044265453106
oct330000000000
982742655630
1028991029248
1111327753405
125751054000
13297033699c
141590443c76
15b4a2748d3
hex6c0000000

28991029248 has 124 divisors (see below), whose sum is σ = 85899345880. Its totient is φ = 9663676416.

The previous prime is 28991029219. The next prime is 28991029261. The reversal of 28991029248 is 84292019982.

The cubic root of 28991029248 is 3072.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (2!)21.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 28991029194 and 28991029203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9663676415 + 9663676416 + 9663676417.

Almost surely, 228991029248 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 28991029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42949672940).

28991029248 is an abundant number, since it is smaller than the sum of its proper divisors (56908316632).

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

28991029248 is an frugal number, since it uses more digits than its factorization.

28991029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

28991029248 divided by its sum of digits (54) gives a 29-th power (536870912 = 229).

The spelling of 28991029248 in words is "twenty-eight billion, nine hundred ninety-one million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 32768 36864 49152 55296 65536 73728 98304 110592 131072 147456 196608 221184 262144 294912 393216 442368 524288 589824 786432 884736 1048576 1179648 1572864 1769472 2097152 2359296 3145728 3538944 4194304 4718592 6291456 7077888 8388608 9437184 12582912 14155776 16777216 18874368 25165824 28311552 33554432 37748736 50331648 56623104 67108864 75497472 100663296 113246208 134217728 150994944 201326592 226492416 268435456 301989888 402653184 452984832 536870912 603979776 805306368 905969664 1073741824 1207959552 1610612736 1811939328 2415919104 3221225472 3623878656 4831838208 7247757312 9663676416 14495514624 28991029248