Search a number
-
+
28821936528 = 243271131711181
BaseRepresentation
bin11010110101111010…
…111101100110010000
32202101122120002002200
4122311322331212100
5433011403432103
621123550043200
72040143263320
oct326572754620
982348502080
1028821936528
1111250260560
1257044a9500
1329442b1618
141575bc9280
15b3a4c30a3
hex6b5ebd990

28821936528 has 480 divisors, whose sum is σ = 105360113664. Its totient is φ = 7136640000.

The previous prime is 28821936467. The next prime is 28821936557. The reversal of 28821936528 is 82563912882.

It is a happy number.

28821936528 is a `hidden beast` number, since 2 + 8 + 8 + 21 + 93 + 6 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24404098 + ... + 24405278.

Almost surely, 228821936528 is an apocalyptic number.

28821936528 is a gapful number since it is divisible by the number (28) 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 28821936528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52680056832).

28821936528 is an abundant number, since it is smaller than the sum of its proper divisors (76538177136).

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

28821936528 is a wasteful number, since it uses less digits than its factorization.

28821936528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 28821936528 in words is "twenty-eight billion, eight hundred twenty-one million, nine hundred thirty-six thousand, five hundred twenty-eight".