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28120369728 = 2631182916061
BaseRepresentation
bin11010001100000110…
…101100101001000000
32200120202102210101010
4122030012230221000
5430042303312403
620530205040520
72013564125133
oct321406545100
980522383333
1028120369728
1110a20240a90
125549556140
132861b44039
14150a96421a
15ae8ae1603
hex68c1aca40

28120369728 has 112 divisors (see below), whose sum is σ = 81268580160. Its totient is φ = 8510515200.

The previous prime is 28120369703. The next prime is 28120369729. The reversal of 28120369728 is 82796302182.

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

It is not an unprimeable number, because it can be changed into a prime (28120369729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742818 + ... + 1758878.

Almost surely, 228120369728 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 28120369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40634290080).

28120369728 is an abundant number, since it is smaller than the sum of its proper divisors (53148210432).

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

28120369728 is a wasteful number, since it uses less digits than its factorization.

28120369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16916 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 28120369728 in words is "twenty-eight billion, one hundred twenty million, three hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 829 1056 1658 2112 2487 3316 4974 6632 9119 9948 13264 16061 18238 19896 26528 27357 32122 36476 39792 48183 53056 54714 64244 72952 79584 96366 109428 128488 145904 159168 176671 192732 218856 256976 291808 353342 385464 437712 513952 530013 583616 706684 770928 875424 1027904 1060026 1413368 1541856 1750848 2120052 2826736 3083712 4240104 5653472 8480208 11306944 13314569 16960416 26629138 33920832 39943707 53258276 79887414 106516552 146460259 159774828 213033104 292920518 319549656 426066208 439380777 585841036 639099312 852132416 878761554 1171682072 1278198624 1757523108 2343364144 2556397248 3515046216 4686728288 7030092432 9373456576 14060184864 28120369728