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28928241225 = 3252132760769
BaseRepresentation
bin11010111100010000…
…011110111001001001
32202200001120220201200
4122330100132321021
5433221112204400
621142304334413
72042603664462
oct327420367111
982601526650
1028928241225
11112a5268884
125734014409
132960321a00
141585d7bd69
15b449c0b00
hex6bc41ee49

28928241225 has 54 divisors (see below), whose sum is σ = 56106026730. Its totient is φ = 14241576960.

The previous prime is 28928241203. The next prime is 28928241259. The reversal of 28928241225 is 52214282982.

It can be written as a sum of positive squares in 9 ways, for example, as 10910011401 + 18018229824 = 104451^2 + 134232^2 .

It is not a de Polignac number, because 28928241225 - 218 = 28927979081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 342360 + ... + 418409.

It is an arithmetic number, because the mean of its divisors is an integer number (1039000495).

Almost surely, 228928241225 is an apocalyptic number.

28928241225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28928241225 is a deficient number, since it is larger than the sum of its proper divisors (27177785505).

28928241225 is a wasteful number, since it uses less digits than its factorization.

28928241225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760811 (or 760790 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 28928241225 in words is "twenty-eight billion, nine hundred twenty-eight million, two hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 38025 760769 2282307 3803845 6846921 9889997 11411535 19019225 29669991 34234605 49449985 57057675 89009973 128569961 148349955 171173025 247249925 385709883 445049865 642849805 741749775 1157129649 1928549415 2225249325 3214249025 5785648245 9642747075 28928241225