Search a number
-
+
28797043968 = 283371161887
BaseRepresentation
bin11010110100011100…
…000000010100000000
32202022220201101221000
4122310130000110000
5432434020401333
621121300332000
72036421556260
oct326434002400
982286641830
1028797043968
11112381a93a0
1256b80a4000
13293c0a72b4
1415727897a0
15b38207713
hex6b4700500

28797043968 has 576 divisors, whose sum is σ = 108033085440. Its totient is φ = 7348838400.

The previous prime is 28797043949. The next prime is 28797043981. The reversal of 28797043968 is 86934079782.

28797043968 is a `hidden beast` number, since 2 + 8 + 79 + 70 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32465221 + ... + 32466107.

It is an arithmetic number, because the mean of its divisors is an integer number (187557440).

Almost surely, 228797043968 is an apocalyptic number.

28797043968 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 28797043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54016542720).

28797043968 is an abundant number, since it is smaller than the sum of its proper divisors (79236041472).

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

28797043968 is a wasteful number, since it uses less digits than its factorization.

28797043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 28797043968 in words is "twenty-eight billion, seven hundred ninety-seven million, forty-three thousand, nine hundred sixty-eight".