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28192312032 = 2531734749783
BaseRepresentation
bin11010010000011001…
…001000101011100000
32200202202210211122220
4122100121020223200
5430214212441112
620541255031040
72015426461353
oct322031105340
980682724586
1028192312032
1110a57909335
12556966b480
132873a12951
14151633029a
15b000a298c
hex690648ae0

28192312032 has 96 divisors (see below), whose sum is σ = 78585437952. Its totient is φ = 8818980864.

The previous prime is 28192312021. The next prime is 28192312033. The reversal of 28192312032 is 23021329182.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 28192311984 and 28192312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28192312033) 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 15 ways as a sum of consecutive naturals, for example, 541413 + ... + 591195.

It is an arithmetic number, because the mean of its divisors is an integer number (818598312).

Almost surely, 228192312032 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 28192312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39292718976).

28192312032 is an abundant number, since it is smaller than the sum of its proper divisors (50393125920).

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

28192312032 is a wasteful number, since it uses less digits than its factorization.

28192312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50160 (or 50152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 28192312032 in words is "twenty-eight billion, one hundred ninety-two million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 347 408 544 694 816 1041 1388 1632 2082 2776 4164 5552 5899 8328 11104 11798 16656 17697 23596 33312 35394 47192 49783 70788 94384 99566 141576 149349 188768 199132 283152 298698 398264 566304 597396 796528 846311 1194792 1593056 1692622 2389584 2538933 3385244 4779168 5077866 6770488 10155732 13540976 17274701 20311464 27081952 34549402 40622928 51824103 69098804 81245856 103648206 138197608 207296412 276395216 293669917 414592824 552790432 587339834 829185648 881009751 1174679668 1658371296 1762019502 2349359336 3524039004 4698718672 7048078008 9397437344 14096156016 28192312032