Search a number
-
+
28282019136 = 2637247167383
BaseRepresentation
bin11010010101101111…
…010101110101000000
32201000000121102200020
4122111233111311000
5430410144103021
620554221453440
72020566124200
oct322557256500
981000542606
1028282019136
1110aa350a638
125593711280
132889491487
141524202400
15b07dc27c6
hex695bd5d40

28282019136 has 336 divisors, whose sum is σ = 89664454656. Its totient is φ = 7840766976.

The previous prime is 28282019113. The next prime is 28282019147. The reversal of 28282019136 is 63191028282.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73843201 + ... + 73843583.

It is an arithmetic number, because the mean of its divisors is an integer number (266858496).

Almost surely, 228282019136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28282019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44832227328).

28282019136 is an abundant number, since it is smaller than the sum of its proper divisors (61382435520).

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

28282019136 is a wasteful number, since it uses less digits than its factorization.

28282019136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 28282019136 in words is "twenty-eight billion, two hundred eighty-two million, nineteen thousand, one hundred thirty-six".