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28413748728 = 23331719340093
BaseRepresentation
bin11010011101100101…
…110110010111111000
32201100012110222201000
4122131211312113320
5431142404424403
621015245125000
72024055610401
oct323545662770
981305428630
1028413748728
1111060902a72
12560b859760
1328aa864291
1415378d29a8
15b147437a3
hex69d9765f8

28413748728 has 128 divisors (see below), whose sum is σ = 84004948800. Its totient is φ = 8867708928.

The previous prime is 28413748723. The next prime is 28413748747. The reversal of 28413748728 is 82784731482.

28413748728 is a `hidden beast` number, since 2 + 8 + 4 + 137 + 487 + 28 = 666.

It is a super-2 number, since 2×284137487282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28413748723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688650 + ... + 728742.

Almost surely, 228413748728 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 28413748728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42002474400).

28413748728 is an abundant number, since it is smaller than the sum of its proper divisors (55591200072).

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

28413748728 is a wasteful number, since it uses less digits than its factorization.

28413748728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40318 (or 40308 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 28413748728 in words is "twenty-eight billion, four hundred thirteen million, seven hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 193 204 216 306 386 408 459 579 612 772 918 1158 1224 1544 1737 1836 2316 3281 3474 3672 4632 5211 6562 6948 9843 10422 13124 13896 19686 20844 26248 29529 39372 40093 41688 59058 78744 80186 88587 118116 120279 160372 177174 236232 240558 320744 354348 360837 481116 681581 708696 721674 962232 1082511 1363162 1443348 2044743 2165022 2726324 2886696 4089486 4330044 5452648 6134229 7737949 8178972 8660088 12268458 15475898 16357944 18402687 23213847 24536916 30951796 36805374 46427694 49073832 61903592 69641541 73610748 92855388 131545133 139283082 147221496 185710776 208924623 263090266 278566164 394635399 417849246 526180532 557132328 789270798 835698492 1052361064 1183906197 1578541596 1671396984 2367812394 3157083192 3551718591 4735624788 7103437182 9471249576 14206874364 28413748728