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28442265344 = 281719134217
BaseRepresentation
bin11010011111010010…
…101000011100000000
32201102012010210010222
4122133102220130000
5431222204442334
621022144242212
72024553160253
oct323722503400
981365123128
1028442265344
1111075a0aa19
125619310368
1328b373a00c
14153b5d709a
15b16ec7d2e
hex69f4a8700

28442265344 has 72 divisors (see below), whose sum is σ = 60429535488. Its totient is φ = 13314129920.

The previous prime is 28442265343. The next prime is 28442265347. The reversal of 28442265344 is 44356224482.

It is a junction number, because it is equal to n+sod(n) for n = 28442265295 and 28442265304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28442265343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814124 + ... + 848340.

It is an arithmetic number, because the mean of its divisors is an integer number (839299104).

Almost surely, 228442265344 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 28442265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30214767744).

28442265344 is an abundant number, since it is smaller than the sum of its proper divisors (31987270144).

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

28442265344 is a wasteful number, since it uses less digits than its factorization.

28442265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34441 (or 34427 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 44.

The spelling of 28442265344 in words is "twenty-eight billion, four hundred forty-two million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 191 256 272 382 544 764 1088 1528 2176 3056 3247 4352 6112 6494 12224 12988 24448 25976 34217 48896 51952 68434 103904 136868 207808 273736 415616 547472 581689 831232 1094944 1163378 2189888 2326756 4379776 4653512 6535447 8759552 9307024 13070894 18614048 26141788 37228096 52283576 74456192 104567152 111102599 148912384 209134304 222205198 418268608 444410396 836537216 888820792 1673074432 1777641584 3555283168 7110566336 14221132672 28442265344