Search a number
-
+
28707475680 = 2535513217257
BaseRepresentation
bin11010101111000110…
…010101000011100000
32202002200011212100000
4122233012111003200
5432243103210210
621104340500000
72034253342242
oct325706250340
982080155300
1028707475680
11111a1692414
1256920aa600
132926676a00
141564912092
15b30413ac0
hex6af1950e0

28707475680 has 864 divisors, whose sum is σ = 116932836384. Its totient is φ = 6624903168.

The previous prime is 28707475673. The next prime is 28707475703. The reversal of 28707475680 is 8657470782.

It is a happy number.

28707475680 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 74 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111702112 + ... + 111702368.

It is an arithmetic number, because the mean of its divisors is an integer number (135338931).

Almost surely, 228707475680 is an apocalyptic number.

28707475680 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 28707475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58466418192).

28707475680 is an abundant number, since it is smaller than the sum of its proper divisors (88225360704).

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

28707475680 is a wasteful number, since it uses less digits than its factorization.

28707475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 28707475680 in words is "twenty-eight billion, seven hundred seven million, four hundred seventy-five thousand, six hundred eighty".