Search a number
-
+
28804189680 = 24375729811
BaseRepresentation
bin11010110100110111…
…010000110111110000
32202100102011110000000
4122310313100313300
5432442333032210
621122113430000
72036536400250
oct326467206760
982312143000
1028804189680
111124123a042
1256ba56b300
132940709926
1415736c9960
15b38b69ac0
hex6b4dd0df0

28804189680 has 640 divisors, whose sum is σ = 118892390400. Its totient is φ = 6348948480.

The previous prime is 28804189643. The next prime is 28804189721. The reversal of 28804189680 is 8698140882.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35516475 + ... + 35517285.

It is an arithmetic number, because the mean of its divisors is an integer number (185769360).

Almost surely, 228804189680 is an apocalyptic number.

28804189680 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 28804189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59446195200).

28804189680 is an abundant number, since it is smaller than the sum of its proper divisors (90088200720).

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

28804189680 is an equidigital number, since it uses as much as digits as its factorization.

28804189680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 28804189680 in words is "twenty-eight billion, eight hundred four million, one hundred eighty-nine thousand, six hundred eighty".