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28224919344 = 2435341926479
BaseRepresentation
bin11010010010010101…
…100001011100110000
32200212001011110111010
4122102111201130300
5430301034404334
620544421550520
72016303566406
oct322225413460
980761143433
1028224919344
1110a7425a726
125578575440
13287a6bb60b
14151a7bb476
15b02d940e9
hex692561730

28224919344 has 80 divisors (see below), whose sum is σ = 74470233600. Its totient is φ = 9208412928.

The previous prime is 28224919319. The next prime is 28224919381. The reversal of 28224919344 is 44391942282.

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

It is a junction number, because it is equal to n+sod(n) for n = 28224919293 and 28224919302.

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, 1052697 + ... + 1079175.

It is an arithmetic number, because the mean of its divisors is an integer number (930877920).

Almost surely, 228224919344 is an apocalyptic number.

28224919344 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 28224919344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37235116800).

28224919344 is an abundant number, since it is smaller than the sum of its proper divisors (46245314256).

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

28224919344 is a wasteful number, since it uses less digits than its factorization.

28224919344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26962 (or 26956 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 28224919344 in words is "twenty-eight billion, two hundred twenty-four million, nine hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 419 424 636 838 848 1257 1272 1676 2514 2544 3352 5028 6704 10056 20112 22207 26479 44414 52958 66621 79437 88828 105916 133242 158874 177656 211832 266484 317748 355312 423664 532968 635496 1065936 1270992 1403387 2806774 4210161 5613548 8420322 11094701 11227096 16840644 22189402 22454192 33284103 33681288 44378804 66568206 67362576 88757608 133136412 177515216 266272824 532545648 588019153 1176038306 1764057459 2352076612 3528114918 4704153224 7056229836 9408306448 14112459672 28224919344