Search a number
-
+
28428828648 = 23311569189253
BaseRepresentation
bin11010011110011111…
…010111111111101000
32201101020212010110120
4122132133113333220
5431210240004043
621020544243240
72024331025233
oct323637277750
981336763416
1028428828648
1111069372810
125614910520
1328b0a140cc
1415398da41a
15b15c21983
hex69e7d7fe8

28428828648 has 64 divisors (see below), whose sum is σ = 77669841600. Its totient is φ = 8599610880.

The previous prime is 28428828613. The next prime is 28428828653. The reversal of 28428828648 is 84682882482.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28428828591 and 28428828600.

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, 55590 + ... + 244842.

It is an arithmetic number, because the mean of its divisors is an integer number (1213591275).

Almost surely, 228428828648 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 28428828648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38834920800).

28428828648 is an abundant number, since it is smaller than the sum of its proper divisors (49241012952).

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

28428828648 is a wasteful number, since it uses less digits than its factorization.

28428828648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189842 (or 189838 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 60.

The spelling of 28428828648 in words is "twenty-eight billion, four hundred twenty-eight million, eight hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 569 1138 1707 2276 3414 4552 6259 6828 12518 13656 18777 25036 37554 50072 75108 150216 189253 378506 567759 757012 1135518 1514024 2081783 2271036 4163566 4542072 6245349 8327132 12490698 16654264 24981396 49962792 107684957 215369914 323054871 430739828 646109742 861479656 1184534527 1292219484 2369069054 2584438968 3553603581 4738138108 7107207162 9476276216 14214414324 28428828648