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28584238224 = 2438920893203
BaseRepresentation
bin11010100111110000…
…001101110010010000
32201210002021202022210
4122213300031302100
5432020031110344
621044215232120
72031226005333
oct324760156220
981702252283
1028584238224
111113906a283
125658978640
132906c88339
1415523d261a
15b246bddb9
hex6a7c0dc90

28584238224 has 80 divisors (see below), whose sum is σ = 74731377600. Its totient is φ = 9413572608.

The previous prime is 28584238213. The next prime is 28584238247. The reversal of 28584238224 is 42283248582.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8922607 + ... + 8925809.

It is an arithmetic number, because the mean of its divisors is an integer number (934142220).

Almost surely, 228584238224 is an apocalyptic number.

28584238224 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 28584238224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37365688800).

28584238224 is an abundant number, since it is smaller than the sum of its proper divisors (46147139376).

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

28584238224 is a wasteful number, since it uses less digits than its factorization.

28584238224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5386 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 48.

The spelling of 28584238224 in words is "twenty-eight billion, five hundred eighty-four million, two hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2089 2136 3203 4178 4272 6267 6406 8356 9609 12534 12812 16712 19218 25068 25624 33424 38436 50136 51248 76872 100272 153744 185921 285067 371842 557763 570134 743684 855201 1115526 1140268 1487368 1710402 2231052 2280536 2974736 3420804 4462104 4561072 6691067 6841608 8924208 13382134 13683216 20073201 26764268 40146402 53528536 80292804 107057072 160585608 321171216 595504963 1191009926 1786514889 2382019852 3573029778 4764039704 7146059556 9528079408 14292119112 28584238224