Search a number
-
+
28750056192 = 28331113172959
BaseRepresentation
bin11010110001101000…
…110000101100000000
32202012122022011211000
4122301220300230000
5432340003244232
621112501252000
72035311305544
oct326150605400
982178264730
1028750056192
1111213725820
1256a4404000
132932434c90
14156a437a24
15b3402527c
hex6b1a30b00

28750056192 has 1152 divisors, whose sum is σ = 111259008000. Its totient is φ = 7184056320.

The previous prime is 28750056187. The next prime is 28750056193. The reversal of 28750056192 is 29165005782.

28750056192 is a `hidden beast` number, since 2 + 8 + 7 + 500 + 56 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (28750056193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487289059 + ... + 487289117.

It is an arithmetic number, because the mean of its divisors is an integer number (96579000).

Almost surely, 228750056192 is an apocalyptic number.

28750056192 is a gapful number since it is divisible by the number (22) 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 28750056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55629504000).

28750056192 is an abundant number, since it is smaller than the sum of its proper divisors (82508951808).

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

28750056192 is a wasteful number, since it uses less digits than its factorization.

28750056192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 28750056192 in words is "twenty-eight billion, seven hundred fifty million, fifty-six thousand, one hundred ninety-two".