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28820073984 = 293138916217
BaseRepresentation
bin11010110101110011…
…110110111000000000
32202101112001110011120
4122311303312320000
5433010414331414
621123442112240
72040121405212
oct326563667000
982345043146
1028820073984
111124a1a9169
12570394b680
132943aab920
1415758625b2
15b3a2562a9
hex6b5cf6e00

28820073984 has 160 divisors (see below), whose sum is σ = 83618710560. Its totient is φ = 8767537152.

The previous prime is 28820073941. The next prime is 28820073991. The reversal of 28820073984 is 48937002882.

It is a congruent number.

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, 1769044 + ... + 1785260.

It is an arithmetic number, because the mean of its divisors is an integer number (522616941).

Almost surely, 228820073984 is an apocalyptic number.

28820073984 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 28820073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41809355280).

28820073984 is an abundant number, since it is smaller than the sum of its proper divisors (54798636576).

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

28820073984 is a wasteful number, since it uses less digits than its factorization.

28820073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16340 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 28820073984 in words is "twenty-eight billion, eight hundred twenty million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 256 267 312 356 384 416 512 534 624 712 768 832 1068 1157 1248 1424 1536 1664 2136 2314 2496 2848 3328 3471 4272 4628 4992 5696 6656 6942 8544 9256 9984 11392 13884 16217 17088 18512 19968 22784 27768 32434 34176 37024 45568 48651 55536 64868 68352 74048 97302 111072 129736 136704 148096 194604 210821 222144 259472 296192 389208 421642 444288 518944 592384 632463 778416 843284 888576 1037888 1264926 1443313 1556832 1686568 1777152 2075776 2529852 2886626 3113664 3373136 4151552 4329939 5059704 5773252 6227328 6746272 8303104 8659878 10119408 11546504 12454656 13492544 17319756 18763069 20238816 23093008 24909312 26985088 34639512 37526138 40477632 46186016 53970176 56289207 69279024 75052276 80955264 92372032 107940352 112578414 138558048 150104552 161910528 184744064 225156828 277116096 300209104 323821056 369488128 450313656 554232192 600418208 738976256 900627312 1108464384 1200836416 1801254624 2216928768 2401672832 3602509248 4803345664 7205018496 9606691328 14410036992 28820073984