Search a number
-
+
28405715712 = 2831131710607
BaseRepresentation
bin11010011101000111…
…001101001100000000
32201022122100212110220
4122131013031030000
5431133330400322
621014401023040
72023630412463
oct323507151400
981278325426
1028405715712
1111057316710
125609024a80
1328a8cb0b0a
1415368012da
15b13ba855c
hex69d1cd300

28405715712 has 144 divisors (see below), whose sum is σ = 82741381632. Its totient is φ = 8579829760.

The previous prime is 28405715707. The next prime is 28405715747. The reversal of 28405715712 is 21751750482.

It is a super-2 number, since 2×284057157122 (a number of 22 digits) contains 22 as substring.

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, 2672713 + ... + 2683319.

It is an arithmetic number, because the mean of its divisors is an integer number (574592928).

Almost surely, 228405715712 is an apocalyptic number.

28405715712 is a gapful number since it is divisible by the number (22) 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 28405715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370690816).

28405715712 is an abundant number, since it is smaller than the sum of its proper divisors (54335665920).

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

28405715712 is a wasteful number, since it uses less digits than its factorization.

28405715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 28405715712 in words is "twenty-eight billion, four hundred five million, seven hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 317 352 384 528 634 704 768 951 1056 1268 1408 1902 2112 2536 2816 3487 3804 4224 5072 6974 7608 8448 10144 10461 10607 13948 15216 20288 20922 21214 27896 30432 31821 40576 41844 42428 55792 60864 63642 81152 83688 84856 111584 116677 121728 127284 167376 169712 223168 233354 243456 254568 334752 339424 350031 446336 466708 509136 669504 678848 700062 892672 933416 1018272 1339008 1357696 1400124 1866832 2036544 2678016 2715392 2800248 3362419 3733664 4073088 5600496 6724838 7467328 8146176 10087257 11200992 13449676 14934656 20174514 22401984 26899352 29869312 36986609 40349028 44803968 53798704 73973218 80698056 89607936 107597408 110959827 147946436 161396112 215194816 221919654 295892872 322792224 430389632 443839308 591785744 645584448 860779264 887678616 1183571488 1291168896 1775357232 2367142976 2582337792 3550714464 4734285952 7101428928 9468571904 14202857856 28405715712