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28515201024 = 21232718563
BaseRepresentation
bin11010100011101000…
…110111000000000000
32201121021101022002110
4122203220313000000
5431344342413044
621033311415320
72026430131602
oct324350670000
981537338073
1028515201024
11111030a6642
125639824540
1328c5895b1b
141547181172
15b1d5d36b9
hex6a3a37000

28515201024 has 104 divisors (see below), whose sum is σ = 76320723712. Its totient is φ = 9468887040.

The previous prime is 28515201019. The next prime is 28515201101. The reversal of 28515201024 is 42010251582.

It is a junction number, because it is equal to n+sod(n) for n = 28515200982 and 28515201000.

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 7 ways as a sum of consecutive naturals, for example, 3325767 + ... + 3334329.

Almost surely, 228515201024 is an apocalyptic number.

28515201024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28515201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38160361856).

28515201024 is an abundant number, since it is smaller than the sum of its proper divisors (47805522688).

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

28515201024 is an equidigital number, since it uses as much as digits as its factorization.

28515201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 28515201024 in words is "twenty-eight billion, five hundred fifteen million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 768 813 1024 1084 1536 1626 2048 2168 3072 3252 4096 4336 6144 6504 8563 8672 12288 13008 17126 17344 25689 26016 34252 34688 51378 52032 68504 69376 102756 104064 137008 138752 205512 208128 274016 277504 411024 416256 548032 555008 822048 832512 1096064 1110016 1644096 1665024 2192128 2320573 3288192 3330048 4384256 4641146 6576384 6961719 8768512 9282292 13152768 13923438 17537024 18564584 26305536 27846876 35074048 37129168 52611072 55693752 74258336 105222144 111387504 148516672 222775008 297033344 445550016 594066688 891100032 1188133376 1782200064 2376266752 3564400128 4752533504 7128800256 9505067008 14257600512 28515201024