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28057744080 = 24325267714557
BaseRepresentation
bin11010001000010111…
…110011001011010000
32200102101121002010200
4122020113303023100
5424430240302310
620520050455200
72012203614102
oct321027631320
980371532120
1028057744080
1110998957453
125530594500
132851b87c42
141502501572
15ae33709c0
hex6885f32d0

28057744080 has 120 divisors (see below), whose sum is σ = 94268931432. Its totient is φ = 7478756352.

The previous prime is 28057744079. The next prime is 28057744123. The reversal of 28057744080 is 8044775082.

28057744080 is a `hidden beast` number, since 2 + 80 + 57 + 7 + 440 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 986965056 + 27070779024 = 31416^2 + 164532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1920162 + ... + 1934718.

Almost surely, 228057744080 is an apocalyptic number.

28057744080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28057744080 is an abundant number, since it is smaller than the sum of its proper divisors (66211187352).

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

28057744080 is a wasteful number, since it uses less digits than its factorization.

28057744080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17253 (or 17244 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 28057744080 in words is "twenty-eight billion, fifty-seven million, seven hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2677 5354 8031 10708 13385 14557 16062 21416 24093 26770 29114 32124 40155 42832 43671 48186 53540 58228 64248 72785 80310 87342 96372 107080 116456 120465 128496 131013 145570 160620 174684 192744 214160 218355 232912 240930 262026 291140 321240 349368 385488 436710 481860 524052 582280 642480 655065 698736 873420 963720 1048104 1164560 1310130 1746840 1927440 2096208 2620260 3493680 5240520 10481040 38969089 77938178 116907267 155876356 194845445 233814534 311752712 350721801 389690890 467629068 584536335 623505424 701443602 779381780 935258136 1169072670 1402887204 1558763560 1753609005 1870516272 2338145340 2805774408 3117527120 3507218010 4676290680 5611548816 7014436020 9352581360 14028872040 28057744080