Search a number
-
+
28066264884 = 22337219475939
BaseRepresentation
bin11010001000111000…
…010011011100110100
32200102222121222111000
4122020320103130310
5424434430434014
620520553243300
72012336213100
oct321070233464
980388558430
1028066264884
11109a2747239
125533403530
13285387c438
1415036bc900
15ae3ea5509
hex688e13734

28066264884 has 288 divisors, whose sum is σ = 91010304000. Its totient is φ = 7433995968.

The previous prime is 28066264867. The next prime is 28066264909. The reversal of 28066264884 is 48846266082.

28066264884 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 626 + 4 + 8 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28066264884.

It is a congruent number.

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, 4722787 + ... + 4728725.

It is an arithmetic number, because the mean of its divisors is an integer number (316008000).

Almost surely, 228066264884 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 28066264884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152000).

28066264884 is an abundant number, since it is smaller than the sum of its proper divisors (62944039116).

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

28066264884 is a wasteful number, since it uses less digits than its factorization.

28066264884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 28066264884 in words is "twenty-eight billion, sixty-six million, two hundred sixty-four thousand, eight hundred eighty-four".