Search a number
-
+
28279403000 = 2353137206419
BaseRepresentation
bin11010010101100101…
…010111000111111000
32200222211200112000022
4122111211113013320
5430404011344000
620554045430012
72020534650032
oct322545270770
980884615008
1028279403000
1110aa1a93042
12559286b308
132888a86774
141523b20c52
15b07a57585
hex6959571f8

28279403000 has 64 divisors (see below), whose sum is σ = 66657146400. Its totient is φ = 11229139200.

The previous prime is 28279402979. The next prime is 28279403011. The reversal of 28279403000 is 30497282.

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 15 ways as a sum of consecutive naturals, for example, 33791 + ... + 240209.

Almost surely, 228279403000 is an apocalyptic number.

28279403000 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 28279403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33328573200).

28279403000 is an abundant number, since it is smaller than the sum of its proper divisors (38377743400).

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

28279403000 is a wasteful number, since it uses less digits than its factorization.

28279403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206577 (or 206563 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 28279403000 in words is "twenty-eight billion, two hundred seventy-nine million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 17125 27400 34250 68500 137000 206419 412838 825676 1032095 1651352 2064190 4128380 5160475 8256760 10320950 20641900 25802375 28279403 41283800 51604750 56558806 103209500 113117612 141397015 206419000 226235224 282794030 565588060 706985075 1131176120 1413970150 2827940300 3534925375 5655880600 7069850750 14139701500 28279403000