Search a number
-
+
28785769728 = 283197924971
BaseRepresentation
bin11010110011110000…
…111111110100000000
32202022010111121120120
4122303300333310000
5432423124112403
621120214540240
72036224001622
oct326360776400
982263447516
1028785769728
11112318a8941
1256b4367680
13293995a751
141571092c12
15b3722be53
hex6b3c3fd00

28785769728 has 144 divisors (see below), whose sum is σ = 81668428800. Its totient is φ = 8974817280.

The previous prime is 28785769723. The next prime is 28785769751. The reversal of 28785769728 is 82796758782.

Its product of digits (189665280) is a multiple of the sum of its prime factors (25088).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28785769723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140283 + ... + 1165253.

Almost surely, 228785769728 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 28785769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40834214400).

28785769728 is an abundant number, since it is smaller than the sum of its proper divisors (52882659072).

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

28785769728 is a wasteful number, since it uses less digits than its factorization.

28785769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25088 (or 25074 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 69.

The spelling of 28785769728 in words is "twenty-eight billion, seven hundred eighty-five million, seven hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 608 632 768 912 948 1216 1264 1501 1824 1896 2432 2528 3002 3648 3792 4503 4864 5056 6004 7296 7584 9006 10112 12008 14592 15168 18012 20224 24016 24971 30336 36024 48032 49942 60672 72048 74913 96064 99884 144096 149826 192128 199768 288192 299652 384256 399536 474449 576384 599304 799072 948898 1152768 1198608 1423347 1598144 1897796 1972709 2397216 2846694 3196288 3795592 3945418 4794432 5693388 5918127 6392576 7591184 7890836 9588864 11386776 11836254 15182368 15781672 19177728 22773552 23672508 30364736 31563344 37481471 45547104 47345016 60729472 63126688 74962942 91094208 94690032 112444413 121458944 126253376 149925884 182188416 189380064 224888826 252506752 299851768 364376832 378760128 449777652 505013504 599703536 757520256 899555304 1199407072 1515040512 1799110608 2398814144 3598221216 4797628288 7196442432 9595256576 14392884864 28785769728