Search a number
-
+
28723680540 = 22345193130103
BaseRepresentation
bin11010110000000100…
…001001010100011100
32202010210200011020000
4122300010021110130
5432311230234130
621110120054300
72034541153602
oct326004112434
982123604200
1028723680540
11111aa850365
125697604390
132929b2b899
141566b2d872
15b31a65260
hex6b010951c

28723680540 has 240 divisors, whose sum is σ = 97912657920. Its totient is φ = 7022194560.

The previous prime is 28723680527. The next prime is 28723680541. The reversal of 28723680540 is 4508632782.

28723680540 is a `hidden beast` number, since 2 + 8 + 7 + 23 + 6 + 80 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28723680541) 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 79 ways as a sum of consecutive naturals, for example, 939129 + ... + 969231.

It is an arithmetic number, because the mean of its divisors is an integer number (407969408).

Almost surely, 228723680540 is an apocalyptic number.

28723680540 is a gapful number since it is divisible by the number (20) 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 28723680540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48956328960).

28723680540 is an abundant number, since it is smaller than the sum of its proper divisors (69188977380).

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

28723680540 is a wasteful number, since it uses less digits than its factorization.

28723680540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30174 (or 30163 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28723680540 in words is "twenty-eight billion, seven hundred twenty-three million, six hundred eighty thousand, five hundred forty".