Search a number
-
+
28000528431876 = 223471113389221941
BaseRepresentation
bin1100101110111011000011…
…00011001111101100000100
310200010211020222012000210000
412113131201203033230010
512132230040234310001
6135315133140201300
75616654124442640
oct627354143175404
9120124228160700
1028000528431876
118a15a59366a30
123182834399230
131281591506280
146cb338b73c20
153385583cda86
hex1977618cfb04

28000528431876 has 480 divisors, whose sum is σ = 98534151555840. Its totient is φ = 6696125107200.

The previous prime is 28000528431847. The next prime is 28000528431877. The reversal of 28000528431876 is 67813482500082.

28000528431876 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 0 + 528 + 4 + 31 + 87 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28000528431877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126051066 + ... + 126273006.

It is an arithmetic number, because the mean of its divisors is an integer number (205279482408).

Almost surely, 228000528431876 is an apocalyptic number.

28000528431876 is a gapful number since it is divisible by the number (26) 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 28000528431876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49267075777920).

28000528431876 is an abundant number, since it is smaller than the sum of its proper divisors (70533623123964).

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

28000528431876 is a wasteful number, since it uses less digits than its factorization.

28000528431876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222377 (or 222366 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28000528431876 in words is "twenty-eight trillion, five hundred twenty-eight million, four hundred thirty-one thousand, eight hundred seventy-six".