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5728155120 = 2432510774353
BaseRepresentation
bin1010101010110110…
…01011010111110000
3112210012112102121100
411111123023113300
543212401430440
62344222124400
7261643341462
oct52533132760
915705472540
105728155120
11247a4377a6
12113a420700
137039782cc
143c4a88132
15237d3b230
hex1556cb5f0

5728155120 has 120 divisors (see below), whose sum is σ = 19417100976. Its totient is φ = 1513211904.

The previous prime is 5728155119. The next prime is 5728155143. The reversal of 5728155120 is 215518275.

5728155120 is a `hidden beast` number, since 5 + 7 + 2 + 81 + 551 + 20 = 666.

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

It is a super-2 number, since 2×57281551202 = 65623522157564428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 39864 + ... + 114216.

Almost surely, 25728155120 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 5728155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708550488).

5728155120 is an abundant number, since it is smaller than the sum of its proper divisors (13688945856).

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

5728155120 is a wasteful number, since it uses less digits than its factorization.

5728155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74479 (or 74470 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 5728155120 is about 75684.5765001034. The cubic root of 5728155120 is about 1789.2523244684.

It can be divided in two parts, 5728155 and 120, that added together give a palindrome (5728275).

The spelling of 5728155120 in words is "five billion, seven hundred twenty-eight million, one hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 9630 12840 15408 19260 25680 38520 74353 77040 148706 223059 297412 371765 446118 594824 669177 743530 892236 1115295 1189648 1338354 1487060 1784472 2230590 2676708 2974120 3345885 3568944 4461180 5353416 5948240 6691770 7955771 8922360 10706832 13383540 15911542 17844720 23867313 26767080 31823084 39778855 47734626 53534160 63646168 71601939 79557710 95469252 119336565 127292336 143203878 159115420 190938504 238673130 286407756 318230840 358009695 381877008 477346260 572815512 636461680 716019390 954692520 1145631024 1432038780 1909385040 2864077560 5728155120