Search a number
-
+
28410407568 = 24321131745969
BaseRepresentation
bin11010011101011001…
…000110101010010000
32201022222012020111100
4122131121012222100
5431141031020233
621015045344400
72024015323404
oct323531065220
981288166440
1028410407568
1111059a30784
12560a708100
1328a9c6456a
1415372a3104
15b142d3813
hex69d646a90

28410407568 has 60 divisors (see below), whose sum is σ = 80213353740. Its totient is φ = 9386323968.

The previous prime is 28410407563. The next prime is 28410407587. The reversal of 28410407568 is 86570401482.

28410407568 is a `hidden beast` number, since 2 + 8 + 41 + 0 + 40 + 7 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9774881424 + 18635526144 = 98868^2 + 136512^2 .

It is not an unprimeable number, because it can be changed into a prime (28410407563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856713 + ... + 889256.

It is an arithmetic number, because the mean of its divisors is an integer number (1336889229).

Almost surely, 228410407568 is an apocalyptic number.

It is an amenable number.

28410407568 is an abundant number, since it is smaller than the sum of its proper divisors (51802946172).

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

28410407568 is a wasteful number, since it uses less digits than its factorization.

28410407568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746096 (or 1746087 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28410407568 in words is "twenty-eight billion, four hundred ten million, four hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 1745969 3491938 5237907 6983876 10475814 13967752 15713721 20951628 27935504 31427442 41903256 62854884 83806512 125709768 197294497 251419536 394588994 591883491 789177988 1183766982 1578355976 1775650473 2367533964 3156711952 3551300946 4735067928 7102601892 9470135856 14205203784 28410407568