Search a number
-
+
28573683840 = 27325132347353
BaseRepresentation
bin11010100111000111…
…111101000010000000
32201202100102112102200
4122213013331002000
5432004330340330
621043201113200
72031040206462
oct324707750200
981670375380
1028573683840
1111133110649
125655328800
132904a31340
141550c46132
15b237d6a60
hex6a71fd080

28573683840 has 768 divisors, whose sum is σ = 113558215680. Its totient is φ = 6565920768.

The previous prime is 28573683829. The next prime is 28573683857. The reversal of 28573683840 is 4838637582.

28573683840 is a `hidden beast` number, since 2 + 8 + 573 + 68 + 3 + 8 + 4 + 0 = 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, 80945104 + ... + 80945456.

It is an arithmetic number, because the mean of its divisors is an integer number (147862260).

Almost surely, 228573683840 is an apocalyptic number.

28573683840 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 28573683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56779107840).

28573683840 is an abundant number, since it is smaller than the sum of its proper divisors (84984531840).

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

28573683840 is a wasteful number, since it uses less digits than its factorization.

28573683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28573683840 in words is "twenty-eight billion, five hundred seventy-three million, six hundred eighty-three thousand, eight hundred forty".